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Finding the Fourth Proportional to 8,534.43, 12,803.18 and 4,151.88

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Solution

The fourth proportional to 8,534.43, 12,803.18 and 4,151.88 is: 6,228.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,534.43 : 12,803.18 = 4,151.88 : x
  2. Step 2: Convert to fraction form
    8,534.43/12,803.18 = 4,151.88/x
  3. Step 3: Cross multiply
    8,534.43x = 12,803.18 × 4,151.88
  4. Step 4: Simplify right side
    8,534.43x = 53,157,288.07
  5. Step 5: Solve for x
    x = 53,157,288.07/8,534.43
  6. Step 6: Final answer
    x = 6,228.57

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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.