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Finding the Fourth Proportional to 8,577.80, 12,867.47 and 2,337.84

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Solution

The fourth proportional to 8,577.80, 12,867.47 and 2,337.84 is: 3,506.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,577.80 : 12,867.47 = 2,337.84 : x
  2. Step 2: Convert to fraction form
    8,577.80/12,867.47 = 2,337.84/x
  3. Step 3: Cross multiply
    8,577.80x = 12,867.47 × 2,337.84
  4. Step 4: Simplify right side
    8,577.80x = 30,082,074.38
  5. Step 5: Solve for x
    x = 30,082,074.38/8,577.80
  6. Step 6: Final answer
    x = 3,506.97

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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.