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Finding the Fourth Proportional to 27,106.31, 40,655.34 and 7,386.41

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Solution

The fourth proportional to 27,106.31, 40,655.34 and 7,386.41 is: 11,078.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,106.31 : 40,655.34 = 7,386.41 : x
  2. Step 2: Convert to fraction form
    27,106.31/40,655.34 = 7,386.41/x
  3. Step 3: Cross multiply
    27,106.31x = 40,655.34 × 7,386.41
  4. Step 4: Simplify right side
    27,106.31x = 300,297,111.57
  5. Step 5: Solve for x
    x = 300,297,111.57/27,106.31
  6. Step 6: Final answer
    x = 11,078.49

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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.