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Finding the Fourth Proportional to 8,864.40, 13,296.62 and 8,323.12

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Solution

The fourth proportional to 8,864.40, 13,296.62 and 8,323.12 is: 12,484.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,864.40 : 13,296.62 = 8,323.12 : x
  2. Step 2: Convert to fraction form
    8,864.40/13,296.62 = 8,323.12/x
  3. Step 3: Cross multiply
    8,864.40x = 13,296.62 × 8,323.12
  4. Step 4: Simplify right side
    8,864.40x = 110,669,363.85
  5. Step 5: Solve for x
    x = 110,669,363.85/8,864.40
  6. Step 6: Final answer
    x = 12,484.70

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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.