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Finding the Fourth Proportional to 7,818.16, 11,711.53 and 3,652.42

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Solution

The fourth proportional to 7,818.16, 11,711.53 and 3,652.42 is: 5,471.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,818.16 : 11,711.53 = 3,652.42 : x
  2. Step 2: Convert to fraction form
    7,818.16/11,711.53 = 3,652.42/x
  3. Step 3: Cross multiply
    7,818.16x = 11,711.53 × 3,652.42
  4. Step 4: Simplify right side
    7,818.16x = 42,775,426.40
  5. Step 5: Solve for x
    x = 42,775,426.40/7,818.16
  6. Step 6: Final answer
    x = 5,471.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.