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Finding the Fourth Proportional to 10,832.27, 14,947.81 and 6,294.53

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Solution

The fourth proportional to 10,832.27, 14,947.81 and 6,294.53 is: 8,686.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,832.27 : 14,947.81 = 6,294.53 : x
  2. Step 2: Convert to fraction form
    10,832.27/14,947.81 = 6,294.53/x
  3. Step 3: Cross multiply
    10,832.27x = 14,947.81 × 6,294.53
  4. Step 4: Simplify right side
    10,832.27x = 94,089,460.11
  5. Step 5: Solve for x
    x = 94,089,460.11/10,832.27
  6. Step 6: Final answer
    x = 8,686.04

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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.