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Finding the Fourth Proportional to 6,782.52, 10,159.92 and 5,032.92

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Solution

The fourth proportional to 6,782.52, 10,159.92 and 5,032.92 is: 7,539.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,782.52 : 10,159.92 = 5,032.92 : x
  2. Step 2: Convert to fraction form
    6,782.52/10,159.92 = 5,032.92/x
  3. Step 3: Cross multiply
    6,782.52x = 10,159.92 × 5,032.92
  4. Step 4: Simplify right side
    6,782.52x = 51,134,064.57
  5. Step 5: Solve for x
    x = 51,134,064.57/6,782.52
  6. Step 6: Final answer
    x = 7,539.10

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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.