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Finding the Fourth Proportional to 7,002.88, 10,498.34 and 3,105.16

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Solution

The fourth proportional to 7,002.88, 10,498.34 and 3,105.16 is: 4,655.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,002.88 : 10,498.34 = 3,105.16 : x
  2. Step 2: Convert to fraction form
    7,002.88/10,498.34 = 3,105.16/x
  3. Step 3: Cross multiply
    7,002.88x = 10,498.34 × 3,105.16
  4. Step 4: Simplify right side
    7,002.88x = 32,599,025.43
  5. Step 5: Solve for x
    x = 32,599,025.43/7,002.88
  6. Step 6: Final answer
    x = 4,655.09

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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.