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Finding the Fourth Proportional to 8,705.28, 13,033.08 and 5,777.76

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Solution

The fourth proportional to 8,705.28, 13,033.08 and 5,777.76 is: 8,650.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,705.28 : 13,033.08 = 5,777.76 : x
  2. Step 2: Convert to fraction form
    8,705.28/13,033.08 = 5,777.76/x
  3. Step 3: Cross multiply
    8,705.28x = 13,033.08 × 5,777.76
  4. Step 4: Simplify right side
    8,705.28x = 75,302,008.30
  5. Step 5: Solve for x
    x = 75,302,008.30/8,705.28
  6. Step 6: Final answer
    x = 8,650.15

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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.