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Finding the Fourth Proportional to 6,733.38, 9,284.54 and 5,788.10

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Solution

The fourth proportional to 6,733.38, 9,284.54 and 5,788.10 is: 7,981.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,733.38 : 9,284.54 = 5,788.10 : x
  2. Step 2: Convert to fraction form
    6,733.38/9,284.54 = 5,788.10/x
  3. Step 3: Cross multiply
    6,733.38x = 9,284.54 × 5,788.10
  4. Step 4: Simplify right side
    6,733.38x = 53,739,845.97
  5. Step 5: Solve for x
    x = 53,739,845.97/6,733.38
  6. Step 6: Final answer
    x = 7,981.11

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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.