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Finding the Fourth Proportional to 11,539.57, 15,923.26 and 7,065.94

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Solution

The fourth proportional to 11,539.57, 15,923.26 and 7,065.94 is: 9,750.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,539.57 : 15,923.26 = 7,065.94 : x
  2. Step 2: Convert to fraction form
    11,539.57/15,923.26 = 7,065.94/x
  3. Step 3: Cross multiply
    11,539.57x = 15,923.26 × 7,065.94
  4. Step 4: Simplify right side
    11,539.57x = 112,512,799.76
  5. Step 5: Solve for x
    x = 112,512,799.76/11,539.57
  6. Step 6: Final answer
    x = 9,750.17

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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.