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Finding the Fourth Proportional to 10,765.86, 16,119.82 and 6,078.84

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Solution

The fourth proportional to 10,765.86, 16,119.82 and 6,078.84 is: 9,101.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,765.86 : 16,119.82 = 6,078.84 : x
  2. Step 2: Convert to fraction form
    10,765.86/16,119.82 = 6,078.84/x
  3. Step 3: Cross multiply
    10,765.86x = 16,119.82 × 6,078.84
  4. Step 4: Simplify right side
    10,765.86x = 97,989,806.61
  5. Step 5: Solve for x
    x = 97,989,806.61/10,765.86
  6. Step 6: Final answer
    x = 9,101.90

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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.