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Finding the Fourth Proportional to 7,166.83, 9,891.14 and 4,023.02

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Solution

The fourth proportional to 7,166.83, 9,891.14 and 4,023.02 is: 5,552.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,166.83 : 9,891.14 = 4,023.02 : x
  2. Step 2: Convert to fraction form
    7,166.83/9,891.14 = 4,023.02/x
  3. Step 3: Cross multiply
    7,166.83x = 9,891.14 × 4,023.02
  4. Step 4: Simplify right side
    7,166.83x = 39,792,254.04
  5. Step 5: Solve for x
    x = 39,792,254.04/7,166.83
  6. Step 6: Final answer
    x = 5,552.28

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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.