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Finding the Fourth Proportional to 6,705.24, 10,056.24 and 2,545.68

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Solution

The fourth proportional to 6,705.24, 10,056.24 and 2,545.68 is: 3,817.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,705.24 : 10,056.24 = 2,545.68 : x
  2. Step 2: Convert to fraction form
    6,705.24/10,056.24 = 2,545.68/x
  3. Step 3: Cross multiply
    6,705.24x = 10,056.24 × 2,545.68
  4. Step 4: Simplify right side
    6,705.24x = 25,599,969.04
  5. Step 5: Solve for x
    x = 25,599,969.04/6,705.24
  6. Step 6: Final answer
    x = 3,817.90

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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.