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Finding the Fourth Proportional to 6,114.68, 8,434.50 and 5,330.60

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Solution

The fourth proportional to 6,114.68, 8,434.50 and 5,330.60 is: 7,352.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,114.68 : 8,434.50 = 5,330.60 : x
  2. Step 2: Convert to fraction form
    6,114.68/8,434.50 = 5,330.60/x
  3. Step 3: Cross multiply
    6,114.68x = 8,434.50 × 5,330.60
  4. Step 4: Simplify right side
    6,114.68x = 44,960,945.70
  5. Step 5: Solve for x
    x = 44,960,945.70/6,114.68
  6. Step 6: Final answer
    x = 7,352.95

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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.