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Finding the Fourth Proportional to 10,251.86, 15,361.61 and 7,465.71

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Solution

The fourth proportional to 10,251.86, 15,361.61 and 7,465.71 is: 11,186.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,251.86 : 15,361.61 = 7,465.71 : x
  2. Step 2: Convert to fraction form
    10,251.86/15,361.61 = 7,465.71/x
  3. Step 3: Cross multiply
    10,251.86x = 15,361.61 × 7,465.71
  4. Step 4: Simplify right side
    10,251.86x = 114,685,344.06
  5. Step 5: Solve for x
    x = 114,685,344.06/10,251.86
  6. Step 6: Final answer
    x = 11,186.79

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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.