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Finding the Fourth Proportional to 10,770.75, 16,155.93 and 5,871.57

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Solution

The fourth proportional to 10,770.75, 16,155.93 and 5,871.57 is: 8,807.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,770.75 : 16,155.93 = 5,871.57 : x
  2. Step 2: Convert to fraction form
    10,770.75/16,155.93 = 5,871.57/x
  3. Step 3: Cross multiply
    10,770.75x = 16,155.93 × 5,871.57
  4. Step 4: Simplify right side
    10,770.75x = 94,860,673.91
  5. Step 5: Solve for x
    x = 94,860,673.91/10,770.75
  6. Step 6: Final answer
    x = 8,807.25

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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.