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Finding the Fourth Proportional to 7,459.20, 11,188.22 and 4,337.22

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Solution

The fourth proportional to 7,459.20, 11,188.22 and 4,337.22 is: 6,505.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,459.20 : 11,188.22 = 4,337.22 : x
  2. Step 2: Convert to fraction form
    7,459.20/11,188.22 = 4,337.22/x
  3. Step 3: Cross multiply
    7,459.20x = 11,188.22 × 4,337.22
  4. Step 4: Simplify right side
    7,459.20x = 48,525,771.55
  5. Step 5: Solve for x
    x = 48,525,771.55/7,459.20
  6. Step 6: Final answer
    x = 6,505.49

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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.