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Finding the Fourth Proportional to 10,295.54, 14,207.86 and 5,579.82

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Solution

The fourth proportional to 10,295.54, 14,207.86 and 5,579.82 is: 7,700.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,295.54 : 14,207.86 = 5,579.82 : x
  2. Step 2: Convert to fraction form
    10,295.54/14,207.86 = 5,579.82/x
  3. Step 3: Cross multiply
    10,295.54x = 14,207.86 × 5,579.82
  4. Step 4: Simplify right side
    10,295.54x = 79,277,276.97
  5. Step 5: Solve for x
    x = 79,277,276.97/10,295.54
  6. Step 6: Final answer
    x = 7,700.16

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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.