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Finding the Fourth Proportional to 10,937.80, 16,406.70 and 7,657.30

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Solution

The fourth proportional to 10,937.80, 16,406.70 and 7,657.30 is: 11,485.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,937.80 : 16,406.70 = 7,657.30 : x
  2. Step 2: Convert to fraction form
    10,937.80/16,406.70 = 7,657.30/x
  3. Step 3: Cross multiply
    10,937.80x = 16,406.70 × 7,657.30
  4. Step 4: Simplify right side
    10,937.80x = 125,631,023.91
  5. Step 5: Solve for x
    x = 125,631,023.91/10,937.80
  6. Step 6: Final answer
    x = 11,485.95

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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.