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Finding the Fourth Proportional to 11,431.71, 17,152.71 and 7,270.65

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Solution

The fourth proportional to 11,431.71, 17,152.71 and 7,270.65 is: 10,909.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,431.71 : 17,152.71 = 7,270.65 : x
  2. Step 2: Convert to fraction form
    11,431.71/17,152.71 = 7,270.65/x
  3. Step 3: Cross multiply
    11,431.71x = 17,152.71 × 7,270.65
  4. Step 4: Simplify right side
    11,431.71x = 124,711,350.96
  5. Step 5: Solve for x
    x = 124,711,350.96/11,431.71
  6. Step 6: Final answer
    x = 10,909.25

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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.