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Finding the Fourth Proportional to 8,338.40, 11,508.08 and 4,801.76

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Solution

The fourth proportional to 8,338.40, 11,508.08 and 4,801.76 is: 6,627.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,338.40 : 11,508.08 = 4,801.76 : x
  2. Step 2: Convert to fraction form
    8,338.40/11,508.08 = 4,801.76/x
  3. Step 3: Cross multiply
    8,338.40x = 11,508.08 × 4,801.76
  4. Step 4: Simplify right side
    8,338.40x = 55,259,038.22
  5. Step 5: Solve for x
    x = 55,259,038.22/8,338.40
  6. Step 6: Final answer
    x = 6,627.06

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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.