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Finding the Fourth Proportional to 7,502.70, 10,353.75 and 4,145.70

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Solution

The fourth proportional to 7,502.70, 10,353.75 and 4,145.70 is: 5,721.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,502.70 : 10,353.75 = 4,145.70 : x
  2. Step 2: Convert to fraction form
    7,502.70/10,353.75 = 4,145.70/x
  3. Step 3: Cross multiply
    7,502.70x = 10,353.75 × 4,145.70
  4. Step 4: Simplify right side
    7,502.70x = 42,923,541.38
  5. Step 5: Solve for x
    x = 42,923,541.38/7,502.70
  6. Step 6: Final answer
    x = 5,721.08

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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.