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Finding the Fourth Proportional to 11,308.52, 15,592.20 and 10,685

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Solution

The fourth proportional to 11,308.52, 15,592.20 and 10,685 is: 14,732.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,308.52 : 15,592.20 = 10,685 : x
  2. Step 2: Convert to fraction form
    11,308.52/15,592.20 = 10,685/x
  3. Step 3: Cross multiply
    11,308.52x = 15,592.20 × 10,685
  4. Step 4: Simplify right side
    11,308.52x = 166,602,657
  5. Step 5: Solve for x
    x = 166,602,657/11,308.52
  6. Step 6: Final answer
    x = 14,732.49

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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.