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Finding the Fourth Proportional to 6,892.90, 10,340.07 and 4,295.14

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Solution

The fourth proportional to 6,892.90, 10,340.07 and 4,295.14 is: 6,443.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,892.90 : 10,340.07 = 4,295.14 : x
  2. Step 2: Convert to fraction form
    6,892.90/10,340.07 = 4,295.14/x
  3. Step 3: Cross multiply
    6,892.90x = 10,340.07 × 4,295.14
  4. Step 4: Simplify right side
    6,892.90x = 44,412,048.26
  5. Step 5: Solve for x
    x = 44,412,048.26/6,892.90
  6. Step 6: Final answer
    x = 6,443.16

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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.