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Finding the Fourth Proportional to 7,490.25, 11,223.50 and 5,015.97

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Solution

The fourth proportional to 7,490.25, 11,223.50 and 5,015.97 is: 7,516.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,490.25 : 11,223.50 = 5,015.97 : x
  2. Step 2: Convert to fraction form
    7,490.25/11,223.50 = 5,015.97/x
  3. Step 3: Cross multiply
    7,490.25x = 11,223.50 × 5,015.97
  4. Step 4: Simplify right side
    7,490.25x = 56,296,714.22
  5. Step 5: Solve for x
    x = 56,296,714.22/7,490.25
  6. Step 6: Final answer
    x = 7,516.00

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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.