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Finding the Fourth Proportional to 8,549.12, 11,789.88 and 6,559.76

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Solution

The fourth proportional to 8,549.12, 11,789.88 and 6,559.76 is: 9,046.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,549.12 : 11,789.88 = 6,559.76 : x
  2. Step 2: Convert to fraction form
    8,549.12/11,789.88 = 6,559.76/x
  3. Step 3: Cross multiply
    8,549.12x = 11,789.88 × 6,559.76
  4. Step 4: Simplify right side
    8,549.12x = 77,338,783.23
  5. Step 5: Solve for x
    x = 77,338,783.23/8,549.12
  6. Step 6: Final answer
    x = 9,046.40

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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.