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Finding the Fourth Proportional to 6,253.14, 8,611.82 and 6,117.06

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Solution

The fourth proportional to 6,253.14, 8,611.82 and 6,117.06 is: 8,424.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,253.14 : 8,611.82 = 6,117.06 : x
  2. Step 2: Convert to fraction form
    6,253.14/8,611.82 = 6,117.06/x
  3. Step 3: Cross multiply
    6,253.14x = 8,611.82 × 6,117.06
  4. Step 4: Simplify right side
    6,253.14x = 52,679,019.65
  5. Step 5: Solve for x
    x = 52,679,019.65/6,253.14
  6. Step 6: Final answer
    x = 8,424.41

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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.