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Finding the Fourth Proportional to 7,708.62, 11,547.98 and 5,068.16

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Solution

The fourth proportional to 7,708.62, 11,547.98 and 5,068.16 is: 7,592.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,708.62 : 11,547.98 = 5,068.16 : x
  2. Step 2: Convert to fraction form
    7,708.62/11,547.98 = 5,068.16/x
  3. Step 3: Cross multiply
    7,708.62x = 11,547.98 × 5,068.16
  4. Step 4: Simplify right side
    7,708.62x = 58,527,010.32
  5. Step 5: Solve for x
    x = 58,527,010.32/7,708.62
  6. Step 6: Final answer
    x = 7,592.41

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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.