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Finding the Fourth Proportional to 8,030, 11,093.62 and 6,418.40

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Solution

The fourth proportional to 8,030, 11,093.62 and 6,418.40 is: 8,867.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,030 : 11,093.62 = 6,418.40 : x
  2. Step 2: Convert to fraction form
    8,030/11,093.62 = 6,418.40/x
  3. Step 3: Cross multiply
    8,030x = 11,093.62 × 6,418.40
  4. Step 4: Simplify right side
    8,030x = 71,203,290.61
  5. Step 5: Solve for x
    x = 71,203,290.61/8,030
  6. Step 6: Final answer
    x = 8,867.16

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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.