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Finding the Fourth Proportional to 7,769.16, 11,644.02 and 3,381.66

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Solution

The fourth proportional to 7,769.16, 11,644.02 and 3,381.66 is: 5,068.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,769.16 : 11,644.02 = 3,381.66 : x
  2. Step 2: Convert to fraction form
    7,769.16/11,644.02 = 3,381.66/x
  3. Step 3: Cross multiply
    7,769.16x = 11,644.02 × 3,381.66
  4. Step 4: Simplify right side
    7,769.16x = 39,376,116.67
  5. Step 5: Solve for x
    x = 39,376,116.67/7,769.16
  6. Step 6: Final answer
    x = 5,068.26

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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.