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Finding the Fourth Proportional to 11,688.75, 17,527.05 and 10,357.92

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Solution

The fourth proportional to 11,688.75, 17,527.05 and 10,357.92 is: 15,531.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,688.75 : 17,527.05 = 10,357.92 : x
  2. Step 2: Convert to fraction form
    11,688.75/17,527.05 = 10,357.92/x
  3. Step 3: Cross multiply
    11,688.75x = 17,527.05 × 10,357.92
  4. Step 4: Simplify right side
    11,688.75x = 181,543,781.74
  5. Step 5: Solve for x
    x = 181,543,781.74/11,688.75
  6. Step 6: Final answer
    x = 15,531.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.