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Finding the Fourth Proportional to 7,496.76, 11,246.79 and 2,302.50

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Solution

The fourth proportional to 7,496.76, 11,246.79 and 2,302.50 is: 3,454.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,496.76 : 11,246.79 = 2,302.50 : x
  2. Step 2: Convert to fraction form
    7,496.76/11,246.79 = 2,302.50/x
  3. Step 3: Cross multiply
    7,496.76x = 11,246.79 × 2,302.50
  4. Step 4: Simplify right side
    7,496.76x = 25,895,733.98
  5. Step 5: Solve for x
    x = 25,895,733.98/7,496.76
  6. Step 6: Final answer
    x = 3,454.26

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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.