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Finding the Fourth Proportional to 7,057.53, 10,585.49 and 1,863.81

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Solution

The fourth proportional to 7,057.53, 10,585.49 and 1,863.81 is: 2,795.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,057.53 : 10,585.49 = 1,863.81 : x
  2. Step 2: Convert to fraction form
    7,057.53/10,585.49 = 1,863.81/x
  3. Step 3: Cross multiply
    7,057.53x = 10,585.49 × 1,863.81
  4. Step 4: Simplify right side
    7,057.53x = 19,729,332.80
  5. Step 5: Solve for x
    x = 19,729,332.80/7,057.53
  6. Step 6: Final answer
    x = 2,795.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.