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Finding the Fourth Proportional to 8,386.16, 11,572.89 and 4,609.57

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Solution

The fourth proportional to 8,386.16, 11,572.89 and 4,609.57 is: 6,361.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,386.16 : 11,572.89 = 4,609.57 : x
  2. Step 2: Convert to fraction form
    8,386.16/11,572.89 = 4,609.57/x
  3. Step 3: Cross multiply
    8,386.16x = 11,572.89 × 4,609.57
  4. Step 4: Simplify right side
    8,386.16x = 53,346,046.56
  5. Step 5: Solve for x
    x = 53,346,046.56/8,386.16
  6. Step 6: Final answer
    x = 6,361.20

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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.