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Finding the Fourth Proportional to 11,561.77, 15,938.26 and 8,332.57

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Solution

The fourth proportional to 11,561.77, 15,938.26 and 8,332.57 is: 11,486.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,561.77 : 15,938.26 = 8,332.57 : x
  2. Step 2: Convert to fraction form
    11,561.77/15,938.26 = 8,332.57/x
  3. Step 3: Cross multiply
    11,561.77x = 15,938.26 × 8,332.57
  4. Step 4: Simplify right side
    11,561.77x = 132,806,667.13
  5. Step 5: Solve for x
    x = 132,806,667.13/11,561.77
  6. Step 6: Final answer
    x = 11,486.71

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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.