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Finding the Fourth Proportional to 11,143.13, 15,377.51 and 6,667.07

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Solution

The fourth proportional to 11,143.13, 15,377.51 and 6,667.07 is: 9,200.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,143.13 : 15,377.51 = 6,667.07 : x
  2. Step 2: Convert to fraction form
    11,143.13/15,377.51 = 6,667.07/x
  3. Step 3: Cross multiply
    11,143.13x = 15,377.51 × 6,667.07
  4. Step 4: Simplify right side
    11,143.13x = 102,522,875.38
  5. Step 5: Solve for x
    x = 102,522,875.38/11,143.13
  6. Step 6: Final answer
    x = 9,200.55

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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.