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Finding the Fourth Proportional to 10,935.34, 16,403 and 4,691.32

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Solution

The fourth proportional to 10,935.34, 16,403 and 4,691.32 is: 7,036.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,935.34 : 16,403 = 4,691.32 : x
  2. Step 2: Convert to fraction form
    10,935.34/16,403 = 4,691.32/x
  3. Step 3: Cross multiply
    10,935.34x = 16,403 × 4,691.32
  4. Step 4: Simplify right side
    10,935.34x = 76,951,721.96
  5. Step 5: Solve for x
    x = 76,951,721.96/10,935.34
  6. Step 6: Final answer
    x = 7,036.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.