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Finding the Fourth Proportional to 11,346.10, 15,661.70 and 6,568.20

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Solution

The fourth proportional to 11,346.10, 15,661.70 and 6,568.20 is: 9,066.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,346.10 : 15,661.70 = 6,568.20 : x
  2. Step 2: Convert to fraction form
    11,346.10/15,661.70 = 6,568.20/x
  3. Step 3: Cross multiply
    11,346.10x = 15,661.70 × 6,568.20
  4. Step 4: Simplify right side
    11,346.10x = 102,869,177.94
  5. Step 5: Solve for x
    x = 102,869,177.94/11,346.10
  6. Step 6: Final answer
    x = 9,066.48

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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.