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Finding the Fourth Proportional to 11,101.17, 15,318.27 and 6,319.38

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Solution

The fourth proportional to 11,101.17, 15,318.27 and 6,319.38 is: 8,719.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,101.17 : 15,318.27 = 6,319.38 : x
  2. Step 2: Convert to fraction form
    11,101.17/15,318.27 = 6,319.38/x
  3. Step 3: Cross multiply
    11,101.17x = 15,318.27 × 6,319.38
  4. Step 4: Simplify right side
    11,101.17x = 96,801,969.07
  5. Step 5: Solve for x
    x = 96,801,969.07/11,101.17
  6. Step 6: Final answer
    x = 8,719.98

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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.