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Finding the Fourth Proportional to 11,134, 15,366.04 and 6,166

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Solution

The fourth proportional to 11,134, 15,366.04 and 6,166 is: 8,509.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,134 : 15,366.04 = 6,166 : x
  2. Step 2: Convert to fraction form
    11,134/15,366.04 = 6,166/x
  3. Step 3: Cross multiply
    11,134x = 15,366.04 × 6,166
  4. Step 4: Simplify right side
    11,134x = 94,747,002.64
  5. Step 5: Solve for x
    x = 94,747,002.64/11,134
  6. Step 6: Final answer
    x = 8,509.70

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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.