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Finding the Fourth Proportional to 7,107.84, 10,661.76 and 5,889.28

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Solution

The fourth proportional to 7,107.84, 10,661.76 and 5,889.28 is: 8,833.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,107.84 : 10,661.76 = 5,889.28 : x
  2. Step 2: Convert to fraction form
    7,107.84/10,661.76 = 5,889.28/x
  3. Step 3: Cross multiply
    7,107.84x = 10,661.76 × 5,889.28
  4. Step 4: Simplify right side
    7,107.84x = 62,790,089.93
  5. Step 5: Solve for x
    x = 62,790,089.93/7,107.84
  6. Step 6: Final answer
    x = 8,833.92

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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.