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Finding the Fourth Proportional to 11,385.52, 15,710 and 6,349.34

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Solution

The fourth proportional to 11,385.52, 15,710 and 6,349.34 is: 8,760.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,385.52 : 15,710 = 6,349.34 : x
  2. Step 2: Convert to fraction form
    11,385.52/15,710 = 6,349.34/x
  3. Step 3: Cross multiply
    11,385.52x = 15,710 × 6,349.34
  4. Step 4: Simplify right side
    11,385.52x = 99,748,131.40
  5. Step 5: Solve for x
    x = 99,748,131.40/11,385.52
  6. Step 6: Final answer
    x = 8,760.96

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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.