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Finding the Fourth Proportional to 11,114.70, 15,338.04 and 6,079.14

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Solution

The fourth proportional to 11,114.70, 15,338.04 and 6,079.14 is: 8,389.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,114.70 : 15,338.04 = 6,079.14 : x
  2. Step 2: Convert to fraction form
    11,114.70/15,338.04 = 6,079.14/x
  3. Step 3: Cross multiply
    11,114.70x = 15,338.04 × 6,079.14
  4. Step 4: Simplify right side
    11,114.70x = 93,242,092.49
  5. Step 5: Solve for x
    x = 93,242,092.49/11,114.70
  6. Step 6: Final answer
    x = 8,389.08

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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.