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Finding the Fourth Proportional to 7,307.38, 10,081.80 and 4,471.80

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Solution

The fourth proportional to 7,307.38, 10,081.80 and 4,471.80 is: 6,169.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,307.38 : 10,081.80 = 4,471.80 : x
  2. Step 2: Convert to fraction form
    7,307.38/10,081.80 = 4,471.80/x
  3. Step 3: Cross multiply
    7,307.38x = 10,081.80 × 4,471.80
  4. Step 4: Simplify right side
    7,307.38x = 45,083,812.14
  5. Step 5: Solve for x
    x = 45,083,812.14/7,307.38
  6. Step 6: Final answer
    x = 6,169.62

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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.