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Finding the Fourth Proportional to 8,683.65, 13,046.85 and 5,564.97

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Solution

The fourth proportional to 8,683.65, 13,046.85 and 5,564.97 is: 8,361.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,683.65 : 13,046.85 = 5,564.97 : x
  2. Step 2: Convert to fraction form
    8,683.65/13,046.85 = 5,564.97/x
  3. Step 3: Cross multiply
    8,683.65x = 13,046.85 × 5,564.97
  4. Step 4: Simplify right side
    8,683.65x = 72,605,328.84
  5. Step 5: Solve for x
    x = 72,605,328.84/8,683.65
  6. Step 6: Final answer
    x = 8,361.15

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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.