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Finding the Fourth Proportional to 7,473.38, 10,313.13 and 4,116.50

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Solution

The fourth proportional to 7,473.38, 10,313.13 and 4,116.50 is: 5,680.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,473.38 : 10,313.13 = 4,116.50 : x
  2. Step 2: Convert to fraction form
    7,473.38/10,313.13 = 4,116.50/x
  3. Step 3: Cross multiply
    7,473.38x = 10,313.13 × 4,116.50
  4. Step 4: Simplify right side
    7,473.38x = 42,454,060.20
  5. Step 5: Solve for x
    x = 42,454,060.20/7,473.38
  6. Step 6: Final answer
    x = 5,680.70

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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.