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Finding the Fourth Proportional to 8,947.92, 13,412.16 and 5,053.44

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Solution

The fourth proportional to 8,947.92, 13,412.16 and 5,053.44 is: 7,574.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,947.92 : 13,412.16 = 5,053.44 : x
  2. Step 2: Convert to fraction form
    8,947.92/13,412.16 = 5,053.44/x
  3. Step 3: Cross multiply
    8,947.92x = 13,412.16 × 5,053.44
  4. Step 4: Simplify right side
    8,947.92x = 67,777,545.83
  5. Step 5: Solve for x
    x = 67,777,545.83/8,947.92
  6. Step 6: Final answer
    x = 7,574.67

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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.