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Finding the Fourth Proportional to 6,078.40, 9,117.60 and 5,057.80

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Solution

The fourth proportional to 6,078.40, 9,117.60 and 5,057.80 is: 7,586.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,078.40 : 9,117.60 = 5,057.80 : x
  2. Step 2: Convert to fraction form
    6,078.40/9,117.60 = 5,057.80/x
  3. Step 3: Cross multiply
    6,078.40x = 9,117.60 × 5,057.80
  4. Step 4: Simplify right side
    6,078.40x = 46,114,997.28
  5. Step 5: Solve for x
    x = 46,114,997.28/6,078.40
  6. Step 6: Final answer
    x = 7,586.70

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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.