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Finding the Fourth Proportional to 11,265.86, 15,538.28 and 7,487.84

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Solution

The fourth proportional to 11,265.86, 15,538.28 and 7,487.84 is: 10,327.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,265.86 : 15,538.28 = 7,487.84 : x
  2. Step 2: Convert to fraction form
    11,265.86/15,538.28 = 7,487.84/x
  3. Step 3: Cross multiply
    11,265.86x = 15,538.28 × 7,487.84
  4. Step 4: Simplify right side
    11,265.86x = 116,348,039.38
  5. Step 5: Solve for x
    x = 116,348,039.38/11,265.86
  6. Step 6: Final answer
    x = 10,327.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.