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Finding the Fourth Proportional to 11,182.96, 15,431.55 and 6,147.04

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Solution

The fourth proportional to 11,182.96, 15,431.55 and 6,147.04 is: 8,482.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,182.96 : 15,431.55 = 6,147.04 : x
  2. Step 2: Convert to fraction form
    11,182.96/15,431.55 = 6,147.04/x
  3. Step 3: Cross multiply
    11,182.96x = 15,431.55 × 6,147.04
  4. Step 4: Simplify right side
    11,182.96x = 94,858,355.11
  5. Step 5: Solve for x
    x = 94,858,355.11/11,182.96
  6. Step 6: Final answer
    x = 8,482.40

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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.