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Finding the Fourth Proportional to 7,154.93, 9,874.98 and 4,172.51

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Solution

The fourth proportional to 7,154.93, 9,874.98 and 4,172.51 is: 5,758.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,154.93 : 9,874.98 = 4,172.51 : x
  2. Step 2: Convert to fraction form
    7,154.93/9,874.98 = 4,172.51/x
  3. Step 3: Cross multiply
    7,154.93x = 9,874.98 × 4,172.51
  4. Step 4: Simplify right side
    7,154.93x = 41,203,452.80
  5. Step 5: Solve for x
    x = 41,203,452.80/7,154.93
  6. Step 6: Final answer
    x = 5,758.75

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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.