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Finding the Fourth Proportional to 7,802,853.10, 11,704,279.65 and 7,802,853.10

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Solution

The fourth proportional to 7,802,853.10, 11,704,279.65 and 7,802,853.10 is: 11,704,279.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,802,853.10 : 11,704,279.65 = 7,802,853.10 : x
  2. Step 2: Convert to fraction form
    7,802,853.10/11,704,279.65 = 7,802,853.10/x
  3. Step 3: Cross multiply
    7,802,853.10x = 11,704,279.65 × 7,802,853.10
  4. Step 4: Simplify right side
    7,802,853.10x = 91,326,774,750,269.41
  5. Step 5: Solve for x
    x = 91,326,774,750,269.41/7,802,853.10
  6. Step 6: Final answer
    x = 11,704,279.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.