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Finding the Fourth Proportional to 7,704.71, 11,547.47 and 3,540.29

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Solution

The fourth proportional to 7,704.71, 11,547.47 and 3,540.29 is: 5,306.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,704.71 : 11,547.47 = 3,540.29 : x
  2. Step 2: Convert to fraction form
    7,704.71/11,547.47 = 3,540.29/x
  3. Step 3: Cross multiply
    7,704.71x = 11,547.47 × 3,540.29
  4. Step 4: Simplify right side
    7,704.71x = 40,881,317.13
  5. Step 5: Solve for x
    x = 40,881,317.13/7,704.71
  6. Step 6: Final answer
    x = 5,306.02

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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.