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Finding the Fourth Proportional to 7,164.16, 9,886.51 and 4,020.34

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Solution

The fourth proportional to 7,164.16, 9,886.51 and 4,020.34 is: 5,548.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,164.16 : 9,886.51 = 4,020.34 : x
  2. Step 2: Convert to fraction form
    7,164.16/9,886.51 = 4,020.34/x
  3. Step 3: Cross multiply
    7,164.16x = 9,886.51 × 4,020.34
  4. Step 4: Simplify right side
    7,164.16x = 39,747,062.08
  5. Step 5: Solve for x
    x = 39,747,062.08/7,164.16
  6. Step 6: Final answer
    x = 5,548.05

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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.