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Finding the Fourth Proportional to 7,366.51, 10,169.55 and 5,684.14

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Solution

The fourth proportional to 7,366.51, 10,169.55 and 5,684.14 is: 7,847.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,366.51 : 10,169.55 = 5,684.14 : x
  2. Step 2: Convert to fraction form
    7,366.51/10,169.55 = 5,684.14/x
  3. Step 3: Cross multiply
    7,366.51x = 10,169.55 × 5,684.14
  4. Step 4: Simplify right side
    7,366.51x = 57,805,145.94
  5. Step 5: Solve for x
    x = 57,805,145.94/7,366.51
  6. Step 6: Final answer
    x = 7,847.02

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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.