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Finding the Fourth Proportional to 10,111.51, 13,947.57 and 7,234.93

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Solution

The fourth proportional to 10,111.51, 13,947.57 and 7,234.93 is: 9,979.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,111.51 : 13,947.57 = 7,234.93 : x
  2. Step 2: Convert to fraction form
    10,111.51/13,947.57 = 7,234.93/x
  3. Step 3: Cross multiply
    10,111.51x = 13,947.57 × 7,234.93
  4. Step 4: Simplify right side
    10,111.51x = 100,909,692.62
  5. Step 5: Solve for x
    x = 100,909,692.62/10,111.51
  6. Step 6: Final answer
    x = 9,979.69

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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.