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Finding the Fourth Proportional to 7,002.55, 10,489.62 and 3,249.06

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Solution

The fourth proportional to 7,002.55, 10,489.62 and 3,249.06 is: 4,867.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,002.55 : 10,489.62 = 3,249.06 : x
  2. Step 2: Convert to fraction form
    7,002.55/10,489.62 = 3,249.06/x
  3. Step 3: Cross multiply
    7,002.55x = 10,489.62 × 3,249.06
  4. Step 4: Simplify right side
    7,002.55x = 34,081,404.76
  5. Step 5: Solve for x
    x = 34,081,404.76/7,002.55
  6. Step 6: Final answer
    x = 4,867.00

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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.