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Finding the Fourth Proportional to 11,378.16, 15,692.76 and 7,840.56

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Solution

The fourth proportional to 11,378.16, 15,692.76 and 7,840.56 is: 10,813.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,378.16 : 15,692.76 = 7,840.56 : x
  2. Step 2: Convert to fraction form
    11,378.16/15,692.76 = 7,840.56/x
  3. Step 3: Cross multiply
    11,378.16x = 15,692.76 × 7,840.56
  4. Step 4: Simplify right side
    11,378.16x = 123,040,026.35
  5. Step 5: Solve for x
    x = 123,040,026.35/11,378.16
  6. Step 6: Final answer
    x = 10,813.70

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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.