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Finding the Fourth Proportional to 10,947.61, 15,091.96 and 7,798.33

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Solution

The fourth proportional to 10,947.61, 15,091.96 and 7,798.33 is: 10,750.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,947.61 : 15,091.96 = 7,798.33 : x
  2. Step 2: Convert to fraction form
    10,947.61/15,091.96 = 7,798.33/x
  3. Step 3: Cross multiply
    10,947.61x = 15,091.96 × 7,798.33
  4. Step 4: Simplify right side
    10,947.61x = 117,692,045.44
  5. Step 5: Solve for x
    x = 117,692,045.44/10,947.61
  6. Step 6: Final answer
    x = 10,750.48

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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.