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Finding the Fourth Proportional to 10,675.38, 15,985.11 and 6,967.20

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Solution

The fourth proportional to 10,675.38, 15,985.11 and 6,967.20 is: 10,432.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,675.38 : 15,985.11 = 6,967.20 : x
  2. Step 2: Convert to fraction form
    10,675.38/15,985.11 = 6,967.20/x
  3. Step 3: Cross multiply
    10,675.38x = 15,985.11 × 6,967.20
  4. Step 4: Simplify right side
    10,675.38x = 111,371,458.39
  5. Step 5: Solve for x
    x = 111,371,458.39/10,675.38
  6. Step 6: Final answer
    x = 10,432.55

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