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Finding the Fourth Proportional to 7,853.98, 10,839.24 and 4,497.06

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Solution

The fourth proportional to 7,853.98, 10,839.24 and 4,497.06 is: 6,206.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,853.98 : 10,839.24 = 4,497.06 : x
  2. Step 2: Convert to fraction form
    7,853.98/10,839.24 = 4,497.06/x
  3. Step 3: Cross multiply
    7,853.98x = 10,839.24 × 4,497.06
  4. Step 4: Simplify right side
    7,853.98x = 48,744,712.63
  5. Step 5: Solve for x
    x = 48,744,712.63/7,853.98
  6. Step 6: Final answer
    x = 6,206.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.