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Finding the Fourth Proportional to 11,604.78, 16,010.70 and 6,568.46

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Solution

The fourth proportional to 11,604.78, 16,010.70 and 6,568.46 is: 9,062.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,604.78 : 16,010.70 = 6,568.46 : x
  2. Step 2: Convert to fraction form
    11,604.78/16,010.70 = 6,568.46/x
  3. Step 3: Cross multiply
    11,604.78x = 16,010.70 × 6,568.46
  4. Step 4: Simplify right side
    11,604.78x = 105,165,642.52
  5. Step 5: Solve for x
    x = 105,165,642.52/11,604.78
  6. Step 6: Final answer
    x = 9,062.27

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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.