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Finding the Fourth Proportional to 10,508.51, 15,766.52 and 4,502.06

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Solution

The fourth proportional to 10,508.51, 15,766.52 and 4,502.06 is: 6,754.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,508.51 : 15,766.52 = 4,502.06 : x
  2. Step 2: Convert to fraction form
    10,508.51/15,766.52 = 4,502.06/x
  3. Step 3: Cross multiply
    10,508.51x = 15,766.52 × 4,502.06
  4. Step 4: Simplify right side
    10,508.51x = 70,981,869.70
  5. Step 5: Solve for x
    x = 70,981,869.70/10,508.51
  6. Step 6: Final answer
    x = 6,754.71

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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.