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Finding the Fourth Proportional to 7,708.74, 11,547.32 and 5,202.20

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Solution

The fourth proportional to 7,708.74, 11,547.32 and 5,202.20 is: 7,792.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,708.74 : 11,547.32 = 5,202.20 : x
  2. Step 2: Convert to fraction form
    7,708.74/11,547.32 = 5,202.20/x
  3. Step 3: Cross multiply
    7,708.74x = 11,547.32 × 5,202.20
  4. Step 4: Simplify right side
    7,708.74x = 60,071,468.10
  5. Step 5: Solve for x
    x = 60,071,468.10/7,708.74
  6. Step 6: Final answer
    x = 7,792.64

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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.