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Finding the Fourth Proportional to 7,810.66, 11,718.15 and 3,428.56

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Solution

The fourth proportional to 7,810.66, 11,718.15 and 3,428.56 is: 5,143.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,810.66 : 11,718.15 = 3,428.56 : x
  2. Step 2: Convert to fraction form
    7,810.66/11,718.15 = 3,428.56/x
  3. Step 3: Cross multiply
    7,810.66x = 11,718.15 × 3,428.56
  4. Step 4: Simplify right side
    7,810.66x = 40,176,380.36
  5. Step 5: Solve for x
    x = 40,176,380.36/7,810.66
  6. Step 6: Final answer
    x = 5,143.79

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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.