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Finding the Fourth Proportional to 11,155.84, 15,394.38 and 6,119.20

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Solution

The fourth proportional to 11,155.84, 15,394.38 and 6,119.20 is: 8,444.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,155.84 : 15,394.38 = 6,119.20 : x
  2. Step 2: Convert to fraction form
    11,155.84/15,394.38 = 6,119.20/x
  3. Step 3: Cross multiply
    11,155.84x = 15,394.38 × 6,119.20
  4. Step 4: Simplify right side
    11,155.84x = 94,201,290.10
  5. Step 5: Solve for x
    x = 94,201,290.10/11,155.84
  6. Step 6: Final answer
    x = 8,444.12

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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.