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Finding the Fourth Proportional to 10,502.76, 15,753.90 and 4,958.70

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Solution

The fourth proportional to 10,502.76, 15,753.90 and 4,958.70 is: 7,437.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,502.76 : 15,753.90 = 4,958.70 : x
  2. Step 2: Convert to fraction form
    10,502.76/15,753.90 = 4,958.70/x
  3. Step 3: Cross multiply
    10,502.76x = 15,753.90 × 4,958.70
  4. Step 4: Simplify right side
    10,502.76x = 78,118,863.93
  5. Step 5: Solve for x
    x = 78,118,863.93/10,502.76
  6. Step 6: Final answer
    x = 7,437.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.