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Finding the Fourth Proportional to 11,184.95, 15,434.91 and 6,149.18

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Solution

The fourth proportional to 11,184.95, 15,434.91 and 6,149.18 is: 8,485.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,184.95 : 15,434.91 = 6,149.18 : x
  2. Step 2: Convert to fraction form
    11,184.95/15,434.91 = 6,149.18/x
  3. Step 3: Cross multiply
    11,184.95x = 15,434.91 × 6,149.18
  4. Step 4: Simplify right side
    11,184.95x = 94,912,078.46
  5. Step 5: Solve for x
    x = 94,912,078.46/11,184.95
  6. Step 6: Final answer
    x = 8,485.69

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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.