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Finding the Fourth Proportional to 10,682.40, 16,023.68 and 7,007.88

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Solution

The fourth proportional to 10,682.40, 16,023.68 and 7,007.88 is: 10,511.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,682.40 : 16,023.68 = 7,007.88 : x
  2. Step 2: Convert to fraction form
    10,682.40/16,023.68 = 7,007.88/x
  3. Step 3: Cross multiply
    10,682.40x = 16,023.68 × 7,007.88
  4. Step 4: Simplify right side
    10,682.40x = 112,292,026.60
  5. Step 5: Solve for x
    x = 112,292,026.60/10,682.40
  6. Step 6: Final answer
    x = 10,511.87

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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.