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Finding the Fourth Proportional to 8,202.16, 12,301.42 and 2,357.40

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Solution

The fourth proportional to 8,202.16, 12,301.42 and 2,357.40 is: 3,535.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,202.16 : 12,301.42 = 2,357.40 : x
  2. Step 2: Convert to fraction form
    8,202.16/12,301.42 = 2,357.40/x
  3. Step 3: Cross multiply
    8,202.16x = 12,301.42 × 2,357.40
  4. Step 4: Simplify right side
    8,202.16x = 28,999,412.16
  5. Step 5: Solve for x
    x = 28,999,412.16/8,202.16
  6. Step 6: Final answer
    x = 3,535.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.