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Finding the Fourth Proportional to 11,380.34, 15,703.80 and 6,663.71

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Solution

The fourth proportional to 11,380.34, 15,703.80 and 6,663.71 is: 9,195.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,380.34 : 15,703.80 = 6,663.71 : x
  2. Step 2: Convert to fraction form
    11,380.34/15,703.80 = 6,663.71/x
  3. Step 3: Cross multiply
    11,380.34x = 15,703.80 × 6,663.71
  4. Step 4: Simplify right side
    11,380.34x = 104,645,569.10
  5. Step 5: Solve for x
    x = 104,645,569.10/11,380.34
  6. Step 6: Final answer
    x = 9,195.29

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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.