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Finding the Fourth Proportional to 10,591.34, 14,614.43 and 6,053.22

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Solution

The fourth proportional to 10,591.34, 14,614.43 and 6,053.22 is: 8,352.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,591.34 : 14,614.43 = 6,053.22 : x
  2. Step 2: Convert to fraction form
    10,591.34/14,614.43 = 6,053.22/x
  3. Step 3: Cross multiply
    10,591.34x = 14,614.43 × 6,053.22
  4. Step 4: Simplify right side
    10,591.34x = 88,464,329.70
  5. Step 5: Solve for x
    x = 88,464,329.70/10,591.34
  6. Step 6: Final answer
    x = 8,352.52

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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.