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Finding the Fourth Proportional to 10,071.80, 15,108.50 and 2,676.12

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Solution

The fourth proportional to 10,071.80, 15,108.50 and 2,676.12 is: 4,014.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,071.80 : 15,108.50 = 2,676.12 : x
  2. Step 2: Convert to fraction form
    10,071.80/15,108.50 = 2,676.12/x
  3. Step 3: Cross multiply
    10,071.80x = 15,108.50 × 2,676.12
  4. Step 4: Simplify right side
    10,071.80x = 40,432,159.02
  5. Step 5: Solve for x
    x = 40,432,159.02/10,071.80
  6. Step 6: Final answer
    x = 4,014.39

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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.