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Finding the Fourth Proportional to 10,492.23, 15,743.82 and 4,256.85

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Solution

The fourth proportional to 10,492.23, 15,743.82 and 4,256.85 is: 6,387.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,492.23 : 15,743.82 = 4,256.85 : x
  2. Step 2: Convert to fraction form
    10,492.23/15,743.82 = 4,256.85/x
  3. Step 3: Cross multiply
    10,492.23x = 15,743.82 × 4,256.85
  4. Step 4: Simplify right side
    10,492.23x = 67,019,080.17
  5. Step 5: Solve for x
    x = 67,019,080.17/10,492.23
  6. Step 6: Final answer
    x = 6,387.50

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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.