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Finding the Fourth Proportional to 10,342.83, 14,273.04 and 5,627.13

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Solution

The fourth proportional to 10,342.83, 14,273.04 and 5,627.13 is: 7,765.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,342.83 : 14,273.04 = 5,627.13 : x
  2. Step 2: Convert to fraction form
    10,342.83/14,273.04 = 5,627.13/x
  3. Step 3: Cross multiply
    10,342.83x = 14,273.04 × 5,627.13
  4. Step 4: Simplify right side
    10,342.83x = 80,316,251.58
  5. Step 5: Solve for x
    x = 80,316,251.58/10,342.83
  6. Step 6: Final answer
    x = 7,765.40

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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.