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Finding the Fourth Proportional to 11,139.58, 15,369.51 and 8,774.38

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Solution

The fourth proportional to 11,139.58, 15,369.51 and 8,774.38 is: 12,106.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,139.58 : 15,369.51 = 8,774.38 : x
  2. Step 2: Convert to fraction form
    11,139.58/15,369.51 = 8,774.38/x
  3. Step 3: Cross multiply
    11,139.58x = 15,369.51 × 8,774.38
  4. Step 4: Simplify right side
    11,139.58x = 134,857,921.15
  5. Step 5: Solve for x
    x = 134,857,921.15/11,139.58
  6. Step 6: Final answer
    x = 12,106.19

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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.