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Finding the Fourth Proportional to 10,952.36, 15,114.27 and 5,916.58

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Solution

The fourth proportional to 10,952.36, 15,114.27 and 5,916.58 is: 8,164.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,952.36 : 15,114.27 = 5,916.58 : x
  2. Step 2: Convert to fraction form
    10,952.36/15,114.27 = 5,916.58/x
  3. Step 3: Cross multiply
    10,952.36x = 15,114.27 × 5,916.58
  4. Step 4: Simplify right side
    10,952.36x = 89,424,787.60
  5. Step 5: Solve for x
    x = 89,424,787.60/10,952.36
  6. Step 6: Final answer
    x = 8,164.89

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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.