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Finding the Fourth Proportional to 10,314.52, 14,228.82 and 6,531.40

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Solution

The fourth proportional to 10,314.52, 14,228.82 and 6,531.40 is: 9,010.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,314.52 : 14,228.82 = 6,531.40 : x
  2. Step 2: Convert to fraction form
    10,314.52/14,228.82 = 6,531.40/x
  3. Step 3: Cross multiply
    10,314.52x = 14,228.82 × 6,531.40
  4. Step 4: Simplify right side
    10,314.52x = 92,934,114.95
  5. Step 5: Solve for x
    x = 92,934,114.95/10,314.52
  6. Step 6: Final answer
    x = 9,010.03

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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.