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Finding the Fourth Proportional to 10,472.52, 14,451.78 and 6,225.48

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Solution

The fourth proportional to 10,472.52, 14,451.78 and 6,225.48 is: 8,590.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,472.52 : 14,451.78 = 6,225.48 : x
  2. Step 2: Convert to fraction form
    10,472.52/14,451.78 = 6,225.48/x
  3. Step 3: Cross multiply
    10,472.52x = 14,451.78 × 6,225.48
  4. Step 4: Simplify right side
    10,472.52x = 89,969,267.35
  5. Step 5: Solve for x
    x = 89,969,267.35/10,472.52
  6. Step 6: Final answer
    x = 8,590.99

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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.