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Finding the Fourth Proportional to 7,530.38, 10,391.76 and 4,173.18

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Solution

The fourth proportional to 7,530.38, 10,391.76 and 4,173.18 is: 5,758.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,530.38 : 10,391.76 = 4,173.18 : x
  2. Step 2: Convert to fraction form
    7,530.38/10,391.76 = 4,173.18/x
  3. Step 3: Cross multiply
    7,530.38x = 10,391.76 × 4,173.18
  4. Step 4: Simplify right side
    7,530.38x = 43,366,685.00
  5. Step 5: Solve for x
    x = 43,366,685.00/7,530.38
  6. Step 6: Final answer
    x = 5,758.90

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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.