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Finding the Fourth Proportional to 10,129.17, 15,193.65 and 3,203.67

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Solution

The fourth proportional to 10,129.17, 15,193.65 and 3,203.67 is: 4,805.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,129.17 : 15,193.65 = 3,203.67 : x
  2. Step 2: Convert to fraction form
    10,129.17/15,193.65 = 3,203.67/x
  3. Step 3: Cross multiply
    10,129.17x = 15,193.65 × 3,203.67
  4. Step 4: Simplify right side
    10,129.17x = 48,675,440.70
  5. Step 5: Solve for x
    x = 48,675,440.70/10,129.17
  6. Step 6: Final answer
    x = 4,805.47

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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.