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Finding the Fourth Proportional to 11,338.78, 15,646.84 and 6,302.84

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Solution

The fourth proportional to 11,338.78, 15,646.84 and 6,302.84 is: 8,697.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,338.78 : 15,646.84 = 6,302.84 : x
  2. Step 2: Convert to fraction form
    11,338.78/15,646.84 = 6,302.84/x
  3. Step 3: Cross multiply
    11,338.78x = 15,646.84 × 6,302.84
  4. Step 4: Simplify right side
    11,338.78x = 98,619,529.03
  5. Step 5: Solve for x
    x = 98,619,529.03/11,338.78
  6. Step 6: Final answer
    x = 8,697.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.