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Finding the Fourth Proportional to 11,700.87, 17,563.45 and 6,780.12

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Solution

The fourth proportional to 11,700.87, 17,563.45 and 6,780.12 is: 10,177.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,700.87 : 17,563.45 = 6,780.12 : x
  2. Step 2: Convert to fraction form
    11,700.87/17,563.45 = 6,780.12/x
  3. Step 3: Cross multiply
    11,700.87x = 17,563.45 × 6,780.12
  4. Step 4: Simplify right side
    11,700.87x = 119,082,298.61
  5. Step 5: Solve for x
    x = 119,082,298.61/11,700.87
  6. Step 6: Final answer
    x = 10,177.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.