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Finding the Fourth Proportional to 7,111.69, 10,674.14 and 3,604.17

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Solution

The fourth proportional to 7,111.69, 10,674.14 and 3,604.17 is: 5,409.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,111.69 : 10,674.14 = 3,604.17 : x
  2. Step 2: Convert to fraction form
    7,111.69/10,674.14 = 3,604.17/x
  3. Step 3: Cross multiply
    7,111.69x = 10,674.14 × 3,604.17
  4. Step 4: Simplify right side
    7,111.69x = 38,471,415.16
  5. Step 5: Solve for x
    x = 38,471,415.16/7,111.69
  6. Step 6: Final answer
    x = 5,409.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.