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Finding the Fourth Proportional to 10,429.92, 14,392.98 and 5,953.56

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Solution

The fourth proportional to 10,429.92, 14,392.98 and 5,953.56 is: 8,215.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,429.92 : 14,392.98 = 5,953.56 : x
  2. Step 2: Convert to fraction form
    10,429.92/14,392.98 = 5,953.56/x
  3. Step 3: Cross multiply
    10,429.92x = 14,392.98 × 5,953.56
  4. Step 4: Simplify right side
    10,429.92x = 85,689,470.01
  5. Step 5: Solve for x
    x = 85,689,470.01/10,429.92
  6. Step 6: Final answer
    x = 8,215.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.