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Finding the Fourth Proportional to 10,922.81, 15,074.17 and 6,143.20

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Solution

The fourth proportional to 10,922.81, 15,074.17 and 6,143.20 is: 8,478.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,922.81 : 15,074.17 = 6,143.20 : x
  2. Step 2: Convert to fraction form
    10,922.81/15,074.17 = 6,143.20/x
  3. Step 3: Cross multiply
    10,922.81x = 15,074.17 × 6,143.20
  4. Step 4: Simplify right side
    10,922.81x = 92,603,588.10
  5. Step 5: Solve for x
    x = 92,603,588.10/10,922.81
  6. Step 6: Final answer
    x = 8,478.00

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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.