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Finding the Fourth Proportional to 10,392.94, 15,589.41 and 4,155.74

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Solution

The fourth proportional to 10,392.94, 15,589.41 and 4,155.74 is: 6,233.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,392.94 : 15,589.41 = 4,155.74 : x
  2. Step 2: Convert to fraction form
    10,392.94/15,589.41 = 4,155.74/x
  3. Step 3: Cross multiply
    10,392.94x = 15,589.41 × 4,155.74
  4. Step 4: Simplify right side
    10,392.94x = 64,785,456.77
  5. Step 5: Solve for x
    x = 64,785,456.77/10,392.94
  6. Step 6: Final answer
    x = 6,233.60

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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.