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Finding the Fourth Proportional to 7,253.70, 10,878.23 and 2,322.17

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Solution

The fourth proportional to 7,253.70, 10,878.23 and 2,322.17 is: 3,482.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,253.70 : 10,878.23 = 2,322.17 : x
  2. Step 2: Convert to fraction form
    7,253.70/10,878.23 = 2,322.17/x
  3. Step 3: Cross multiply
    7,253.70x = 10,878.23 × 2,322.17
  4. Step 4: Simplify right side
    7,253.70x = 25,261,033.36
  5. Step 5: Solve for x
    x = 25,261,033.36/7,253.70
  6. Step 6: Final answer
    x = 3,482.50

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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.