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Finding the Fourth Proportional to 10,591.38, 15,894.18 and 4,748.40

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Solution

The fourth proportional to 10,591.38, 15,894.18 and 4,748.40 is: 7,125.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,591.38 : 15,894.18 = 4,748.40 : x
  2. Step 2: Convert to fraction form
    10,591.38/15,894.18 = 4,748.40/x
  3. Step 3: Cross multiply
    10,591.38x = 15,894.18 × 4,748.40
  4. Step 4: Simplify right side
    10,591.38x = 75,471,924.31
  5. Step 5: Solve for x
    x = 75,471,924.31/10,591.38
  6. Step 6: Final answer
    x = 7,125.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.