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Finding the Fourth Proportional to 6,758.16, 10,154.28 and 4,294.16

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Solution

The fourth proportional to 6,758.16, 10,154.28 and 4,294.16 is: 6,452.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,758.16 : 10,154.28 = 4,294.16 : x
  2. Step 2: Convert to fraction form
    6,758.16/10,154.28 = 4,294.16/x
  3. Step 3: Cross multiply
    6,758.16x = 10,154.28 × 4,294.16
  4. Step 4: Simplify right side
    6,758.16x = 43,604,103.00
  5. Step 5: Solve for x
    x = 43,604,103.00/6,758.16
  6. Step 6: Final answer
    x = 6,452.07

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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.