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Finding the Fourth Proportional to 11,358.82, 15,680.01 and 7,634.98

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Solution

The fourth proportional to 11,358.82, 15,680.01 and 7,634.98 is: 10,539.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,358.82 : 15,680.01 = 7,634.98 : x
  2. Step 2: Convert to fraction form
    11,358.82/15,680.01 = 7,634.98/x
  3. Step 3: Cross multiply
    11,358.82x = 15,680.01 × 7,634.98
  4. Step 4: Simplify right side
    11,358.82x = 119,716,562.75
  5. Step 5: Solve for x
    x = 119,716,562.75/11,358.82
  6. Step 6: Final answer
    x = 10,539.52

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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.