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Finding the Fourth Proportional to 7,166.10, 9,889.80 and 3,979.60

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Solution

The fourth proportional to 7,166.10, 9,889.80 and 3,979.60 is: 5,492.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,166.10 : 9,889.80 = 3,979.60 : x
  2. Step 2: Convert to fraction form
    7,166.10/9,889.80 = 3,979.60/x
  3. Step 3: Cross multiply
    7,166.10x = 9,889.80 × 3,979.60
  4. Step 4: Simplify right side
    7,166.10x = 39,357,448.08
  5. Step 5: Solve for x
    x = 39,357,448.08/7,166.10
  6. Step 6: Final answer
    x = 5,492.17

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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.