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Finding the Fourth Proportional to 10,710.66, 16,066.05 and 3,785.16

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Solution

The fourth proportional to 10,710.66, 16,066.05 and 3,785.16 is: 5,677.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,710.66 : 16,066.05 = 3,785.16 : x
  2. Step 2: Convert to fraction form
    10,710.66/16,066.05 = 3,785.16/x
  3. Step 3: Cross multiply
    10,710.66x = 16,066.05 × 3,785.16
  4. Step 4: Simplify right side
    10,710.66x = 60,812,569.82
  5. Step 5: Solve for x
    x = 60,812,569.82/10,710.66
  6. Step 6: Final answer
    x = 5,677.76

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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.