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Finding the Fourth Proportional to 6,169.68, 8,510.40 and 5,385.60

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Solution

The fourth proportional to 6,169.68, 8,510.40 and 5,385.60 is: 7,428.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,169.68 : 8,510.40 = 5,385.60 : x
  2. Step 2: Convert to fraction form
    6,169.68/8,510.40 = 5,385.60/x
  3. Step 3: Cross multiply
    6,169.68x = 8,510.40 × 5,385.60
  4. Step 4: Simplify right side
    6,169.68x = 45,833,610.24
  5. Step 5: Solve for x
    x = 45,833,610.24/6,169.68
  6. Step 6: Final answer
    x = 7,428.85

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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.