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Finding the Fourth Proportional to 11,539.82, 15,923.61 and 7,066.19

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Solution

The fourth proportional to 11,539.82, 15,923.61 and 7,066.19 is: 9,750.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,539.82 : 15,923.61 = 7,066.19 : x
  2. Step 2: Convert to fraction form
    11,539.82/15,923.61 = 7,066.19/x
  3. Step 3: Cross multiply
    11,539.82x = 15,923.61 × 7,066.19
  4. Step 4: Simplify right side
    11,539.82x = 112,519,174.13
  5. Step 5: Solve for x
    x = 112,519,174.13/11,539.82
  6. Step 6: Final answer
    x = 9,750.52

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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.