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Finding the Fourth Proportional to 7,252.70, 10,864.65 and 4,322.30

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Solution

The fourth proportional to 7,252.70, 10,864.65 and 4,322.30 is: 6,474.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,252.70 : 10,864.65 = 4,322.30 : x
  2. Step 2: Convert to fraction form
    7,252.70/10,864.65 = 4,322.30/x
  3. Step 3: Cross multiply
    7,252.70x = 10,864.65 × 4,322.30
  4. Step 4: Simplify right side
    7,252.70x = 46,960,276.70
  5. Step 5: Solve for x
    x = 46,960,276.70/7,252.70
  6. Step 6: Final answer
    x = 6,474.87

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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.