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Finding the Fourth Proportional to 7,762.64, 10,711.85 and 4,406.13

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Solution

The fourth proportional to 7,762.64, 10,711.85 and 4,406.13 is: 6,080.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,762.64 : 10,711.85 = 4,406.13 : x
  2. Step 2: Convert to fraction form
    7,762.64/10,711.85 = 4,406.13/x
  3. Step 3: Cross multiply
    7,762.64x = 10,711.85 × 4,406.13
  4. Step 4: Simplify right side
    7,762.64x = 47,197,781.61
  5. Step 5: Solve for x
    x = 47,197,781.61/7,762.64
  6. Step 6: Final answer
    x = 6,080.12

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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.