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Finding the Fourth Proportional to 8,324.78, 11,486.78 and 5,340.02

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Solution

The fourth proportional to 8,324.78, 11,486.78 and 5,340.02 is: 7,368.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,324.78 : 11,486.78 = 5,340.02 : x
  2. Step 2: Convert to fraction form
    8,324.78/11,486.78 = 5,340.02/x
  3. Step 3: Cross multiply
    8,324.78x = 11,486.78 × 5,340.02
  4. Step 4: Simplify right side
    8,324.78x = 61,339,634.94
  5. Step 5: Solve for x
    x = 61,339,634.94/8,324.78
  6. Step 6: Final answer
    x = 7,368.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.