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Finding the Fourth Proportional to 6,105.60, 8,428.80 and 5,107.20

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Solution

The fourth proportional to 6,105.60, 8,428.80 and 5,107.20 is: 7,050.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,105.60 : 8,428.80 = 5,107.20 : x
  2. Step 2: Convert to fraction form
    6,105.60/8,428.80 = 5,107.20/x
  3. Step 3: Cross multiply
    6,105.60x = 8,428.80 × 5,107.20
  4. Step 4: Simplify right side
    6,105.60x = 43,047,567.36
  5. Step 5: Solve for x
    x = 43,047,567.36/6,105.60
  6. Step 6: Final answer
    x = 7,050.51

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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.