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Finding the Fourth Proportional to 10,967.98, 15,135.76 and 5,932.20

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Solution

The fourth proportional to 10,967.98, 15,135.76 and 5,932.20 is: 8,186.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,967.98 : 15,135.76 = 5,932.20 : x
  2. Step 2: Convert to fraction form
    10,967.98/15,135.76 = 5,932.20/x
  3. Step 3: Cross multiply
    10,967.98x = 15,135.76 × 5,932.20
  4. Step 4: Simplify right side
    10,967.98x = 89,788,325.81
  5. Step 5: Solve for x
    x = 89,788,325.81/10,967.98
  6. Step 6: Final answer
    x = 8,186.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.