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Finding the Fourth Proportional to 10,539.72, 14,544.90 and 6,350.76

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Solution

The fourth proportional to 10,539.72, 14,544.90 and 6,350.76 is: 8,764.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,539.72 : 14,544.90 = 6,350.76 : x
  2. Step 2: Convert to fraction form
    10,539.72/14,544.90 = 6,350.76/x
  3. Step 3: Cross multiply
    10,539.72x = 14,544.90 × 6,350.76
  4. Step 4: Simplify right side
    10,539.72x = 92,371,169.12
  5. Step 5: Solve for x
    x = 92,371,169.12/10,539.72
  6. Step 6: Final answer
    x = 8,764.10

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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.