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Finding the Fourth Proportional to 10,476.57, 15,713.91 and 6,288.45

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Solution

The fourth proportional to 10,476.57, 15,713.91 and 6,288.45 is: 9,432.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,476.57 : 15,713.91 = 6,288.45 : x
  2. Step 2: Convert to fraction form
    10,476.57/15,713.91 = 6,288.45/x
  3. Step 3: Cross multiply
    10,476.57x = 15,713.91 × 6,288.45
  4. Step 4: Simplify right side
    10,476.57x = 98,816,137.34
  5. Step 5: Solve for x
    x = 98,816,137.34/10,476.57
  6. Step 6: Final answer
    x = 9,432.11

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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.