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Finding the Fourth Proportional to 10,391.36, 14,340.52 and 5,916.22

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Solution

The fourth proportional to 10,391.36, 14,340.52 and 5,916.22 is: 8,164.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,391.36 : 14,340.52 = 5,916.22 : x
  2. Step 2: Convert to fraction form
    10,391.36/14,340.52 = 5,916.22/x
  3. Step 3: Cross multiply
    10,391.36x = 14,340.52 × 5,916.22
  4. Step 4: Simplify right side
    10,391.36x = 84,841,671.23
  5. Step 5: Solve for x
    x = 84,841,671.23/10,391.36
  6. Step 6: Final answer
    x = 8,164.64

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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.