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Finding the Fourth Proportional to 8,821.90, 13,193.97 and 5,114.53

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Solution

The fourth proportional to 8,821.90, 13,193.97 and 5,114.53 is: 7,649.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,821.90 : 13,193.97 = 5,114.53 : x
  2. Step 2: Convert to fraction form
    8,821.90/13,193.97 = 5,114.53/x
  3. Step 3: Cross multiply
    8,821.90x = 13,193.97 × 5,114.53
  4. Step 4: Simplify right side
    8,821.90x = 67,480,955.38
  5. Step 5: Solve for x
    x = 67,480,955.38/8,821.90
  6. Step 6: Final answer
    x = 7,649.25

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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.