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Finding the Fourth Proportional to 10,226.84, 15,337.02 and 4,377.56

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Solution

The fourth proportional to 10,226.84, 15,337.02 and 4,377.56 is: 6,564.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,226.84 : 15,337.02 = 4,377.56 : x
  2. Step 2: Convert to fraction form
    10,226.84/15,337.02 = 4,377.56/x
  3. Step 3: Cross multiply
    10,226.84x = 15,337.02 × 4,377.56
  4. Step 4: Simplify right side
    10,226.84x = 67,138,725.27
  5. Step 5: Solve for x
    x = 67,138,725.27/10,226.84
  6. Step 6: Final answer
    x = 6,564.95

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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.