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Finding the Fourth Proportional to 7,471.38, 10,307.04 and 4,819.64

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Solution

The fourth proportional to 7,471.38, 10,307.04 and 4,819.64 is: 6,648.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,471.38 : 10,307.04 = 4,819.64 : x
  2. Step 2: Convert to fraction form
    7,471.38/10,307.04 = 4,819.64/x
  3. Step 3: Cross multiply
    7,471.38x = 10,307.04 × 4,819.64
  4. Step 4: Simplify right side
    7,471.38x = 49,676,191.31
  5. Step 5: Solve for x
    x = 49,676,191.31/7,471.38
  6. Step 6: Final answer
    x = 6,648.87

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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.