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Finding the Fourth Proportional to 10,392.53, 14,340.02 and 5,916.36

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Solution

The fourth proportional to 10,392.53, 14,340.02 and 5,916.36 is: 8,163.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,392.53 : 14,340.02 = 5,916.36 : x
  2. Step 2: Convert to fraction form
    10,392.53/14,340.02 = 5,916.36/x
  3. Step 3: Cross multiply
    10,392.53x = 14,340.02 × 5,916.36
  4. Step 4: Simplify right side
    10,392.53x = 84,840,691.15
  5. Step 5: Solve for x
    x = 84,840,691.15/10,392.53
  6. Step 6: Final answer
    x = 8,163.63

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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.