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Finding the Fourth Proportional to 8,904, 12,287.68 and 5,368.32

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Solution

The fourth proportional to 8,904, 12,287.68 and 5,368.32 is: 7,408.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,904 : 12,287.68 = 5,368.32 : x
  2. Step 2: Convert to fraction form
    8,904/12,287.68 = 5,368.32/x
  3. Step 3: Cross multiply
    8,904x = 12,287.68 × 5,368.32
  4. Step 4: Simplify right side
    8,904x = 65,964,198.30
  5. Step 5: Solve for x
    x = 65,964,198.30/8,904
  6. Step 6: Final answer
    x = 7,408.38

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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.