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Finding the Fourth Proportional to 10,486.55, 15,730.02 and 2,695.16

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Solution

The fourth proportional to 10,486.55, 15,730.02 and 2,695.16 is: 4,042.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,486.55 : 15,730.02 = 2,695.16 : x
  2. Step 2: Convert to fraction form
    10,486.55/15,730.02 = 2,695.16/x
  3. Step 3: Cross multiply
    10,486.55x = 15,730.02 × 2,695.16
  4. Step 4: Simplify right side
    10,486.55x = 42,394,842.05
  5. Step 5: Solve for x
    x = 42,394,842.05/10,486.55
  6. Step 6: Final answer
    x = 4,042.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.