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Finding the Fourth Proportional to 7,257.30, 10,886.01 and 2,326.98

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Solution

The fourth proportional to 7,257.30, 10,886.01 and 2,326.98 is: 3,490.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,257.30 : 10,886.01 = 2,326.98 : x
  2. Step 2: Convert to fraction form
    7,257.30/10,886.01 = 2,326.98/x
  3. Step 3: Cross multiply
    7,257.30x = 10,886.01 × 2,326.98
  4. Step 4: Simplify right side
    7,257.30x = 25,331,527.55
  5. Step 5: Solve for x
    x = 25,331,527.55/7,257.30
  6. Step 6: Final answer
    x = 3,490.49

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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.