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Finding the Fourth Proportional to 7,921.02, 11,866.95 and 7,046.22

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Solution

The fourth proportional to 7,921.02, 11,866.95 and 7,046.22 is: 10,556.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,921.02 : 11,866.95 = 7,046.22 : x
  2. Step 2: Convert to fraction form
    7,921.02/11,866.95 = 7,046.22/x
  3. Step 3: Cross multiply
    7,921.02x = 11,866.95 × 7,046.22
  4. Step 4: Simplify right side
    7,921.02x = 83,617,140.43
  5. Step 5: Solve for x
    x = 83,617,140.43/7,921.02
  6. Step 6: Final answer
    x = 10,556.36

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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.