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Finding the Fourth Proportional to 8,471.12, 12,706.67 and 3,538.07

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Solution

The fourth proportional to 8,471.12, 12,706.67 and 3,538.07 is: 5,307.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,471.12 : 12,706.67 = 3,538.07 : x
  2. Step 2: Convert to fraction form
    8,471.12/12,706.67 = 3,538.07/x
  3. Step 3: Cross multiply
    8,471.12x = 12,706.67 × 3,538.07
  4. Step 4: Simplify right side
    8,471.12x = 44,957,080.89
  5. Step 5: Solve for x
    x = 44,957,080.89/8,471.12
  6. Step 6: Final answer
    x = 5,307.10

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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.