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Finding the Fourth Proportional to 7,801.50, 11,699.46 and 2,253.36

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Solution

The fourth proportional to 7,801.50, 11,699.46 and 2,253.36 is: 3,379.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,801.50 : 11,699.46 = 2,253.36 : x
  2. Step 2: Convert to fraction form
    7,801.50/11,699.46 = 2,253.36/x
  3. Step 3: Cross multiply
    7,801.50x = 11,699.46 × 2,253.36
  4. Step 4: Simplify right side
    7,801.50x = 26,363,095.19
  5. Step 5: Solve for x
    x = 26,363,095.19/7,801.50
  6. Step 6: Final answer
    x = 3,379.23

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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.