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Finding the Fourth Proportional to 10,262.62, 15,395.69 and 3,689.47

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Solution

The fourth proportional to 10,262.62, 15,395.69 and 3,689.47 is: 5,534.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,262.62 : 15,395.69 = 3,689.47 : x
  2. Step 2: Convert to fraction form
    10,262.62/15,395.69 = 3,689.47/x
  3. Step 3: Cross multiply
    10,262.62x = 15,395.69 × 3,689.47
  4. Step 4: Simplify right side
    10,262.62x = 56,801,936.38
  5. Step 5: Solve for x
    x = 56,801,936.38/10,262.62
  6. Step 6: Final answer
    x = 5,534.84

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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.