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Finding the Fourth Proportional to 10,174.64, 15,252.23 and 6,465.38

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Solution

The fourth proportional to 10,174.64, 15,252.23 and 6,465.38 is: 9,691.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,174.64 : 15,252.23 = 6,465.38 : x
  2. Step 2: Convert to fraction form
    10,174.64/15,252.23 = 6,465.38/x
  3. Step 3: Cross multiply
    10,174.64x = 15,252.23 × 6,465.38
  4. Step 4: Simplify right side
    10,174.64x = 98,611,402.70
  5. Step 5: Solve for x
    x = 98,611,402.70/10,174.64
  6. Step 6: Final answer
    x = 9,691.89

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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.