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Finding the Fourth Proportional to 8,319.71, 11,476.89 and 5,631.02

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Solution

The fourth proportional to 8,319.71, 11,476.89 and 5,631.02 is: 7,767.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,319.71 : 11,476.89 = 5,631.02 : x
  2. Step 2: Convert to fraction form
    8,319.71/11,476.89 = 5,631.02/x
  3. Step 3: Cross multiply
    8,319.71x = 11,476.89 × 5,631.02
  4. Step 4: Simplify right side
    8,319.71x = 64,626,582.78
  5. Step 5: Solve for x
    x = 64,626,582.78/8,319.71
  6. Step 6: Final answer
    x = 7,767.89

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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.