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Finding the Fourth Proportional to 8,113.65, 11,194.54 and 5,428.81

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Solution

The fourth proportional to 8,113.65, 11,194.54 and 5,428.81 is: 7,490.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,113.65 : 11,194.54 = 5,428.81 : x
  2. Step 2: Convert to fraction form
    8,113.65/11,194.54 = 5,428.81/x
  3. Step 3: Cross multiply
    8,113.65x = 11,194.54 × 5,428.81
  4. Step 4: Simplify right side
    8,113.65x = 60,773,030.70
  5. Step 5: Solve for x
    x = 60,773,030.70/8,113.65
  6. Step 6: Final answer
    x = 7,490.22

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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.