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Finding the Fourth Proportional to 7,150.27, 9,871.98 and 5,827.14

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Solution

The fourth proportional to 7,150.27, 9,871.98 and 5,827.14 is: 8,045.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,150.27 : 9,871.98 = 5,827.14 : x
  2. Step 2: Convert to fraction form
    7,150.27/9,871.98 = 5,827.14/x
  3. Step 3: Cross multiply
    7,150.27x = 9,871.98 × 5,827.14
  4. Step 4: Simplify right side
    7,150.27x = 57,525,409.54
  5. Step 5: Solve for x
    x = 57,525,409.54/7,150.27
  6. Step 6: Final answer
    x = 8,045.21

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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.