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Finding the Fourth Proportional to 7,496.25, 11,238.03 and 5,023.50

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Solution

The fourth proportional to 7,496.25, 11,238.03 and 5,023.50 is: 7,531.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,496.25 : 11,238.03 = 5,023.50 : x
  2. Step 2: Convert to fraction form
    7,496.25/11,238.03 = 5,023.50/x
  3. Step 3: Cross multiply
    7,496.25x = 11,238.03 × 5,023.50
  4. Step 4: Simplify right side
    7,496.25x = 56,454,243.71
  5. Step 5: Solve for x
    x = 56,454,243.71/7,496.25
  6. Step 6: Final answer
    x = 7,531.00

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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.