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Finding the Fourth Proportional to 10,603.68, 15,905.52 and 3,678.18

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Solution

The fourth proportional to 10,603.68, 15,905.52 and 3,678.18 is: 5,517.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,603.68 : 15,905.52 = 3,678.18 : x
  2. Step 2: Convert to fraction form
    10,603.68/15,905.52 = 3,678.18/x
  3. Step 3: Cross multiply
    10,603.68x = 15,905.52 × 3,678.18
  4. Step 4: Simplify right side
    10,603.68x = 58,503,365.55
  5. Step 5: Solve for x
    x = 58,503,365.55/10,603.68
  6. Step 6: Final answer
    x = 5,517.27

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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.