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Finding the Fourth Proportional to 10,554, 14,564.52 and 6,363.12

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Solution

The fourth proportional to 10,554, 14,564.52 and 6,363.12 is: 8,781.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,554 : 14,564.52 = 6,363.12 : x
  2. Step 2: Convert to fraction form
    10,554/14,564.52 = 6,363.12/x
  3. Step 3: Cross multiply
    10,554x = 14,564.52 × 6,363.12
  4. Step 4: Simplify right side
    10,554x = 92,675,788.50
  5. Step 5: Solve for x
    x = 92,675,788.50/10,554
  6. Step 6: Final answer
    x = 8,781.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.