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Finding the Fourth Proportional to 10,876.68, 15,012.54 and 6,682.50

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Solution

The fourth proportional to 10,876.68, 15,012.54 and 6,682.50 is: 9,223.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,876.68 : 15,012.54 = 6,682.50 : x
  2. Step 2: Convert to fraction form
    10,876.68/15,012.54 = 6,682.50/x
  3. Step 3: Cross multiply
    10,876.68x = 15,012.54 × 6,682.50
  4. Step 4: Simplify right side
    10,876.68x = 100,321,298.55
  5. Step 5: Solve for x
    x = 100,321,298.55/10,876.68
  6. Step 6: Final answer
    x = 9,223.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.