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Finding the Fourth Proportional to 11,864.60, 16,373.49 and 6,559.76

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Solution

The fourth proportional to 11,864.60, 16,373.49 and 6,559.76 is: 9,052.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,864.60 : 16,373.49 = 6,559.76 : x
  2. Step 2: Convert to fraction form
    11,864.60/16,373.49 = 6,559.76/x
  3. Step 3: Cross multiply
    11,864.60x = 16,373.49 × 6,559.76
  4. Step 4: Simplify right side
    11,864.60x = 107,406,171.95
  5. Step 5: Solve for x
    x = 107,406,171.95/11,864.60
  6. Step 6: Final answer
    x = 9,052.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.