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Finding the Fourth Proportional to 10,470.72, 14,436.12 and 8,575.32

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Solution

The fourth proportional to 10,470.72, 14,436.12 and 8,575.32 is: 11,822.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,470.72 : 14,436.12 = 8,575.32 : x
  2. Step 2: Convert to fraction form
    10,470.72/14,436.12 = 8,575.32/x
  3. Step 3: Cross multiply
    10,470.72x = 14,436.12 × 8,575.32
  4. Step 4: Simplify right side
    10,470.72x = 123,794,348.56
  5. Step 5: Solve for x
    x = 123,794,348.56/10,470.72
  6. Step 6: Final answer
    x = 11,822.91

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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.