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Finding the Fourth Proportional to 10,402.42, 15,603.90 and 3,824.32

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Solution

The fourth proportional to 10,402.42, 15,603.90 and 3,824.32 is: 5,736.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,402.42 : 15,603.90 = 3,824.32 : x
  2. Step 2: Convert to fraction form
    10,402.42/15,603.90 = 3,824.32/x
  3. Step 3: Cross multiply
    10,402.42x = 15,603.90 × 3,824.32
  4. Step 4: Simplify right side
    10,402.42x = 59,674,306.85
  5. Step 5: Solve for x
    x = 59,674,306.85/10,402.42
  6. Step 6: Final answer
    x = 5,736.58

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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.