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Finding the Fourth Proportional to 7,852.74, 11,776.04 and 2,853.92

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Solution

The fourth proportional to 7,852.74, 11,776.04 and 2,853.92 is: 4,279.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,852.74 : 11,776.04 = 2,853.92 : x
  2. Step 2: Convert to fraction form
    7,852.74/11,776.04 = 2,853.92/x
  3. Step 3: Cross multiply
    7,852.74x = 11,776.04 × 2,853.92
  4. Step 4: Simplify right side
    7,852.74x = 33,607,876.08
  5. Step 5: Solve for x
    x = 33,607,876.08/7,852.74
  6. Step 6: Final answer
    x = 4,279.76

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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.