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Finding the Fourth Proportional to 11,496.67, 15,867.12 and 7,023

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Solution

The fourth proportional to 11,496.67, 15,867.12 and 7,023 is: 9,692.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,496.67 : 15,867.12 = 7,023 : x
  2. Step 2: Convert to fraction form
    11,496.67/15,867.12 = 7,023/x
  3. Step 3: Cross multiply
    11,496.67x = 15,867.12 × 7,023
  4. Step 4: Simplify right side
    11,496.67x = 111,434,783.76
  5. Step 5: Solve for x
    x = 111,434,783.76/11,496.67
  6. Step 6: Final answer
    x = 9,692.79

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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.