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Finding the Fourth Proportional to 10,385.57, 15,570.81 and 4,143.71

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Solution

The fourth proportional to 10,385.57, 15,570.81 and 4,143.71 is: 6,212.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,385.57 : 15,570.81 = 4,143.71 : x
  2. Step 2: Convert to fraction form
    10,385.57/15,570.81 = 4,143.71/x
  3. Step 3: Cross multiply
    10,385.57x = 15,570.81 × 4,143.71
  4. Step 4: Simplify right side
    10,385.57x = 64,520,921.11
  5. Step 5: Solve for x
    x = 64,520,921.11/10,385.57
  6. Step 6: Final answer
    x = 6,212.55

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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.