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Finding the Fourth Proportional to 8,864.16, 12,231.72 and 6,507.60

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Solution

The fourth proportional to 8,864.16, 12,231.72 and 6,507.60 is: 8,979.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,864.16 : 12,231.72 = 6,507.60 : x
  2. Step 2: Convert to fraction form
    8,864.16/12,231.72 = 6,507.60/x
  3. Step 3: Cross multiply
    8,864.16x = 12,231.72 × 6,507.60
  4. Step 4: Simplify right side
    8,864.16x = 79,599,141.07
  5. Step 5: Solve for x
    x = 79,599,141.07/8,864.16
  6. Step 6: Final answer
    x = 8,979.89

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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.