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Finding the Fourth Proportional to 6,682.34, 10,023.52 and 4,952.18

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Solution

The fourth proportional to 6,682.34, 10,023.52 and 4,952.18 is: 7,428.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,682.34 : 10,023.52 = 4,952.18 : x
  2. Step 2: Convert to fraction form
    6,682.34/10,023.52 = 4,952.18/x
  3. Step 3: Cross multiply
    6,682.34x = 10,023.52 × 4,952.18
  4. Step 4: Simplify right side
    6,682.34x = 49,638,275.27
  5. Step 5: Solve for x
    x = 49,638,275.27/6,682.34
  6. Step 6: Final answer
    x = 7,428.28

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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.