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Finding the Fourth Proportional to 8,864.32, 12,230 and 5,277.64

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Solution

The fourth proportional to 8,864.32, 12,230 and 5,277.64 is: 7,281.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,864.32 : 12,230 = 5,277.64 : x
  2. Step 2: Convert to fraction form
    8,864.32/12,230 = 5,277.64/x
  3. Step 3: Cross multiply
    8,864.32x = 12,230 × 5,277.64
  4. Step 4: Simplify right side
    8,864.32x = 64,545,537.20
  5. Step 5: Solve for x
    x = 64,545,537.20/8,864.32
  6. Step 6: Final answer
    x = 7,281.50

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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.