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Finding the Fourth Proportional to 6,705.65, 10,055.22 and 2,024.78

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Solution

The fourth proportional to 6,705.65, 10,055.22 and 2,024.78 is: 3,036.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,705.65 : 10,055.22 = 2,024.78 : x
  2. Step 2: Convert to fraction form
    6,705.65/10,055.22 = 2,024.78/x
  3. Step 3: Cross multiply
    6,705.65x = 10,055.22 × 2,024.78
  4. Step 4: Simplify right side
    6,705.65x = 20,359,558.08
  5. Step 5: Solve for x
    x = 20,359,558.08/6,705.65
  6. Step 6: Final answer
    x = 3,036.18

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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.