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Finding the Fourth Proportional to 7,160.84, 9,882.22 and 4,176.20

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Solution

The fourth proportional to 7,160.84, 9,882.22 and 4,176.20 is: 5,763.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,160.84 : 9,882.22 = 4,176.20 : x
  2. Step 2: Convert to fraction form
    7,160.84/9,882.22 = 4,176.20/x
  3. Step 3: Cross multiply
    7,160.84x = 9,882.22 × 4,176.20
  4. Step 4: Simplify right side
    7,160.84x = 41,270,127.16
  5. Step 5: Solve for x
    x = 41,270,127.16/7,160.84
  6. Step 6: Final answer
    x = 5,763.31

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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.