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Finding the Fourth Proportional to 10,291.93, 15,440.29 and 5,292.42

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Solution

The fourth proportional to 10,291.93, 15,440.29 and 5,292.42 is: 7,939.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,291.93 : 15,440.29 = 5,292.42 : x
  2. Step 2: Convert to fraction form
    10,291.93/15,440.29 = 5,292.42/x
  3. Step 3: Cross multiply
    10,291.93x = 15,440.29 × 5,292.42
  4. Step 4: Simplify right side
    10,291.93x = 81,716,395.94
  5. Step 5: Solve for x
    x = 81,716,395.94/10,291.93
  6. Step 6: Final answer
    x = 7,939.85

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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.