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Finding the Fourth Proportional to 7,002.19, 10,507.68 and 2,842.22

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Solution

The fourth proportional to 7,002.19, 10,507.68 and 2,842.22 is: 4,265.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,002.19 : 10,507.68 = 2,842.22 : x
  2. Step 2: Convert to fraction form
    7,002.19/10,507.68 = 2,842.22/x
  3. Step 3: Cross multiply
    7,002.19x = 10,507.68 × 2,842.22
  4. Step 4: Simplify right side
    7,002.19x = 29,865,138.25
  5. Step 5: Solve for x
    x = 29,865,138.25/7,002.19
  6. Step 6: Final answer
    x = 4,265.11

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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.