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Finding the Fourth Proportional to 7,166.77, 9,894.96 and 5,485.16

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Solution

The fourth proportional to 7,166.77, 9,894.96 and 5,485.16 is: 7,573.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,166.77 : 9,894.96 = 5,485.16 : x
  2. Step 2: Convert to fraction form
    7,166.77/9,894.96 = 5,485.16/x
  3. Step 3: Cross multiply
    7,166.77x = 9,894.96 × 5,485.16
  4. Step 4: Simplify right side
    7,166.77x = 54,275,463.53
  5. Step 5: Solve for x
    x = 54,275,463.53/7,166.77
  6. Step 6: Final answer
    x = 7,573.21

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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.