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Finding the Fourth Proportional to 7,002.82, 10,505.40 and 3,107.08

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Solution

The fourth proportional to 7,002.82, 10,505.40 and 3,107.08 is: 4,661.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,002.82 : 10,505.40 = 3,107.08 : x
  2. Step 2: Convert to fraction form
    7,002.82/10,505.40 = 3,107.08/x
  3. Step 3: Cross multiply
    7,002.82x = 10,505.40 × 3,107.08
  4. Step 4: Simplify right side
    7,002.82x = 32,641,118.23
  5. Step 5: Solve for x
    x = 32,641,118.23/7,002.82
  6. Step 6: Final answer
    x = 4,661.14

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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.