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Finding the Fourth Proportional to 10,274.52, 15,411.78 and 5,888.96

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Solution

The fourth proportional to 10,274.52, 15,411.78 and 5,888.96 is: 8,833.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,274.52 : 15,411.78 = 5,888.96 : x
  2. Step 2: Convert to fraction form
    10,274.52/15,411.78 = 5,888.96/x
  3. Step 3: Cross multiply
    10,274.52x = 15,411.78 × 5,888.96
  4. Step 4: Simplify right side
    10,274.52x = 90,759,355.95
  5. Step 5: Solve for x
    x = 90,759,355.95/10,274.52
  6. Step 6: Final answer
    x = 8,833.44

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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.