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Finding the Fourth Proportional to 6,690.48, 10,025.52 and 5,298

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Solution

The fourth proportional to 6,690.48, 10,025.52 and 5,298 is: 7,938.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,690.48 : 10,025.52 = 5,298 : x
  2. Step 2: Convert to fraction form
    6,690.48/10,025.52 = 5,298/x
  3. Step 3: Cross multiply
    6,690.48x = 10,025.52 × 5,298
  4. Step 4: Simplify right side
    6,690.48x = 53,115,204.96
  5. Step 5: Solve for x
    x = 53,115,204.96/6,690.48
  6. Step 6: Final answer
    x = 7,938.92

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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.