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Finding the Fourth Proportional to 6,468.10, 8,938.08 and 5,510.50

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Solution

The fourth proportional to 6,468.10, 8,938.08 and 5,510.50 is: 7,614.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,468.10 : 8,938.08 = 5,510.50 : x
  2. Step 2: Convert to fraction form
    6,468.10/8,938.08 = 5,510.50/x
  3. Step 3: Cross multiply
    6,468.10x = 8,938.08 × 5,510.50
  4. Step 4: Simplify right side
    6,468.10x = 49,253,289.84
  5. Step 5: Solve for x
    x = 49,253,289.84/6,468.10
  6. Step 6: Final answer
    x = 7,614.80

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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.