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Finding the Fourth Proportional to 7,231.71, 10,853.86 and 4,117.98

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Solution

The fourth proportional to 7,231.71, 10,853.86 and 4,117.98 is: 6,180.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,231.71 : 10,853.86 = 4,117.98 : x
  2. Step 2: Convert to fraction form
    7,231.71/10,853.86 = 4,117.98/x
  3. Step 3: Cross multiply
    7,231.71x = 10,853.86 × 4,117.98
  4. Step 4: Simplify right side
    7,231.71x = 44,695,978.40
  5. Step 5: Solve for x
    x = 44,695,978.40/7,231.71
  6. Step 6: Final answer
    x = 6,180.55

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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.