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Finding the Fourth Proportional to 10,197.19, 15,295.79 and 2,802.43

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Solution

The fourth proportional to 10,197.19, 15,295.79 and 2,802.43 is: 4,203.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,197.19 : 15,295.79 = 2,802.43 : x
  2. Step 2: Convert to fraction form
    10,197.19/15,295.79 = 2,802.43/x
  3. Step 3: Cross multiply
    10,197.19x = 15,295.79 × 2,802.43
  4. Step 4: Simplify right side
    10,197.19x = 42,865,380.77
  5. Step 5: Solve for x
    x = 42,865,380.77/10,197.19
  6. Step 6: Final answer
    x = 4,203.65

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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.