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Finding the Fourth Proportional to 10,492.34, 15,731.10 and 4,250.50

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Solution

The fourth proportional to 10,492.34, 15,731.10 and 4,250.50 is: 6,372.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,492.34 : 15,731.10 = 4,250.50 : x
  2. Step 2: Convert to fraction form
    10,492.34/15,731.10 = 4,250.50/x
  3. Step 3: Cross multiply
    10,492.34x = 15,731.10 × 4,250.50
  4. Step 4: Simplify right side
    10,492.34x = 66,865,040.55
  5. Step 5: Solve for x
    x = 66,865,040.55/10,492.34
  6. Step 6: Final answer
    x = 6,372.75

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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.