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Finding the Fourth Proportional to 7,164.19, 9,886.55 and 4,020.38

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Solution

The fourth proportional to 7,164.19, 9,886.55 and 4,020.38 is: 5,548.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,164.19 : 9,886.55 = 4,020.38 : x
  2. Step 2: Convert to fraction form
    7,164.19/9,886.55 = 4,020.38/x
  3. Step 3: Cross multiply
    7,164.19x = 9,886.55 × 4,020.38
  4. Step 4: Simplify right side
    7,164.19x = 39,747,687.89
  5. Step 5: Solve for x
    x = 39,747,687.89/7,164.19
  6. Step 6: Final answer
    x = 5,548.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.