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Finding the Fourth Proportional to 7,492.26, 11,232.02 and 5,019.50

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Solution

The fourth proportional to 7,492.26, 11,232.02 and 5,019.50 is: 7,524.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,492.26 : 11,232.02 = 5,019.50 : x
  2. Step 2: Convert to fraction form
    7,492.26/11,232.02 = 5,019.50/x
  3. Step 3: Cross multiply
    7,492.26x = 11,232.02 × 5,019.50
  4. Step 4: Simplify right side
    7,492.26x = 56,379,124.39
  5. Step 5: Solve for x
    x = 56,379,124.39/7,492.26
  6. Step 6: Final answer
    x = 7,524.98

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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.