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Finding the Fourth Proportional to 7,246.56, 10,869.84 and 6,877.20

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Solution

The fourth proportional to 7,246.56, 10,869.84 and 6,877.20 is: 10,315.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,246.56 : 10,869.84 = 6,877.20 : x
  2. Step 2: Convert to fraction form
    7,246.56/10,869.84 = 6,877.20/x
  3. Step 3: Cross multiply
    7,246.56x = 10,869.84 × 6,877.20
  4. Step 4: Simplify right side
    7,246.56x = 74,754,063.65
  5. Step 5: Solve for x
    x = 74,754,063.65/7,246.56
  6. Step 6: Final answer
    x = 10,315.80

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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.