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Finding the Fourth Proportional to 11,338.32, 17,011.80 and 5,178

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Solution

The fourth proportional to 11,338.32, 17,011.80 and 5,178 is: 7,768.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,338.32 : 17,011.80 = 5,178 : x
  2. Step 2: Convert to fraction form
    11,338.32/17,011.80 = 5,178/x
  3. Step 3: Cross multiply
    11,338.32x = 17,011.80 × 5,178
  4. Step 4: Simplify right side
    11,338.32x = 88,087,100.40
  5. Step 5: Solve for x
    x = 88,087,100.40/11,338.32
  6. Step 6: Final answer
    x = 7,768.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.