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Finding the Fourth Proportional to 6,762.24, 10,142.52 and 2,866.16

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Solution

The fourth proportional to 6,762.24, 10,142.52 and 2,866.16 is: 4,298.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,762.24 : 10,142.52 = 2,866.16 : x
  2. Step 2: Convert to fraction form
    6,762.24/10,142.52 = 2,866.16/x
  3. Step 3: Cross multiply
    6,762.24x = 10,142.52 × 2,866.16
  4. Step 4: Simplify right side
    6,762.24x = 29,070,085.12
  5. Step 5: Solve for x
    x = 29,070,085.12/6,762.24
  6. Step 6: Final answer
    x = 4,298.88

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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.