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Finding the Fourth Proportional to 7,459.38, 10,302.30 and 5,800.74

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Solution

The fourth proportional to 7,459.38, 10,302.30 and 5,800.74 is: 8,011.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,459.38 : 10,302.30 = 5,800.74 : x
  2. Step 2: Convert to fraction form
    7,459.38/10,302.30 = 5,800.74/x
  3. Step 3: Cross multiply
    7,459.38x = 10,302.30 × 5,800.74
  4. Step 4: Simplify right side
    7,459.38x = 59,760,963.70
  5. Step 5: Solve for x
    x = 59,760,963.70/7,459.38
  6. Step 6: Final answer
    x = 8,011.52

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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.