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Finding the Fourth Proportional to 10,678.48, 16,026.08 and 7,414.52

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Solution

The fourth proportional to 10,678.48, 16,026.08 and 7,414.52 is: 11,127.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,678.48 : 16,026.08 = 7,414.52 : x
  2. Step 2: Convert to fraction form
    10,678.48/16,026.08 = 7,414.52/x
  3. Step 3: Cross multiply
    10,678.48x = 16,026.08 × 7,414.52
  4. Step 4: Simplify right side
    10,678.48x = 118,825,690.68
  5. Step 5: Solve for x
    x = 118,825,690.68/10,678.48
  6. Step 6: Final answer
    x = 11,127.58

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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.