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Finding the Fourth Proportional to 11,530.13, 15,911.41 and 6,494.84

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Solution

The fourth proportional to 11,530.13, 15,911.41 and 6,494.84 is: 8,962.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,530.13 : 15,911.41 = 6,494.84 : x
  2. Step 2: Convert to fraction form
    11,530.13/15,911.41 = 6,494.84/x
  3. Step 3: Cross multiply
    11,530.13x = 15,911.41 × 6,494.84
  4. Step 4: Simplify right side
    11,530.13x = 103,342,062.12
  5. Step 5: Solve for x
    x = 103,342,062.12/11,530.13
  6. Step 6: Final answer
    x = 8,962.78

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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.