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Finding the Fourth Proportional to 10,408.74, 15,604.02 and 4,563.42

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Solution

The fourth proportional to 10,408.74, 15,604.02 and 4,563.42 is: 6,841.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,408.74 : 15,604.02 = 4,563.42 : x
  2. Step 2: Convert to fraction form
    10,408.74/15,604.02 = 4,563.42/x
  3. Step 3: Cross multiply
    10,408.74x = 15,604.02 × 4,563.42
  4. Step 4: Simplify right side
    10,408.74x = 71,207,696.95
  5. Step 5: Solve for x
    x = 71,207,696.95/10,408.74
  6. Step 6: Final answer
    x = 6,841.14

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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.