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Finding the Fourth Proportional to 7,498.72, 11,219.50 and 4,526.25

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Solution

The fourth proportional to 7,498.72, 11,219.50 and 4,526.25 is: 6,772.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,498.72 : 11,219.50 = 4,526.25 : x
  2. Step 2: Convert to fraction form
    7,498.72/11,219.50 = 4,526.25/x
  3. Step 3: Cross multiply
    7,498.72x = 11,219.50 × 4,526.25
  4. Step 4: Simplify right side
    7,498.72x = 50,782,261.88
  5. Step 5: Solve for x
    x = 50,782,261.88/7,498.72
  6. Step 6: Final answer
    x = 6,772.12

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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.