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Finding the Fourth Proportional to 8,772.54, 13,143.96 and 5,302.50

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Solution

The fourth proportional to 8,772.54, 13,143.96 and 5,302.50 is: 7,944.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,772.54 : 13,143.96 = 5,302.50 : x
  2. Step 2: Convert to fraction form
    8,772.54/13,143.96 = 5,302.50/x
  3. Step 3: Cross multiply
    8,772.54x = 13,143.96 × 5,302.50
  4. Step 4: Simplify right side
    8,772.54x = 69,695,847.90
  5. Step 5: Solve for x
    x = 69,695,847.90/8,772.54
  6. Step 6: Final answer
    x = 7,944.77

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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.