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Finding the Fourth Proportional to 11,480.15, 15,844.33 and 7,006.49

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Solution

The fourth proportional to 11,480.15, 15,844.33 and 7,006.49 is: 9,670.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,480.15 : 15,844.33 = 7,006.49 : x
  2. Step 2: Convert to fraction form
    11,480.15/15,844.33 = 7,006.49/x
  3. Step 3: Cross multiply
    11,480.15x = 15,844.33 × 7,006.49
  4. Step 4: Simplify right side
    11,480.15x = 111,013,241.65
  5. Step 5: Solve for x
    x = 111,013,241.65/11,480.15
  6. Step 6: Final answer
    x = 9,670.02

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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.