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Finding the Fourth Proportional to 7,446.38, 10,280.82 and 4,616.76

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Solution

The fourth proportional to 7,446.38, 10,280.82 and 4,616.76 is: 6,374.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,446.38 : 10,280.82 = 4,616.76 : x
  2. Step 2: Convert to fraction form
    7,446.38/10,280.82 = 4,616.76/x
  3. Step 3: Cross multiply
    7,446.38x = 10,280.82 × 4,616.76
  4. Step 4: Simplify right side
    7,446.38x = 47,464,108.44
  5. Step 5: Solve for x
    x = 47,464,108.44/7,446.38
  6. Step 6: Final answer
    x = 6,374.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.