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Finding the Fourth Proportional to 10,007.46, 15,008.40 and 4,162.77

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Solution

The fourth proportional to 10,007.46, 15,008.40 and 4,162.77 is: 6,242.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,007.46 : 15,008.40 = 4,162.77 : x
  2. Step 2: Convert to fraction form
    10,007.46/15,008.40 = 4,162.77/x
  3. Step 3: Cross multiply
    10,007.46x = 15,008.40 × 4,162.77
  4. Step 4: Simplify right side
    10,007.46x = 62,476,517.27
  5. Step 5: Solve for x
    x = 62,476,517.27/10,007.46
  6. Step 6: Final answer
    x = 6,242.99

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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.