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Finding the Fourth Proportional to 7,711.47, 10,637.91 and 4,522.68

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Solution

The fourth proportional to 7,711.47, 10,637.91 and 4,522.68 is: 6,239.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,711.47 : 10,637.91 = 4,522.68 : x
  2. Step 2: Convert to fraction form
    7,711.47/10,637.91 = 4,522.68/x
  3. Step 3: Cross multiply
    7,711.47x = 10,637.91 × 4,522.68
  4. Step 4: Simplify right side
    7,711.47x = 48,111,862.80
  5. Step 5: Solve for x
    x = 48,111,862.80/7,711.47
  6. Step 6: Final answer
    x = 6,239.00

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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.