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Finding the Fourth Proportional to 11,603.96, 16,013.32 and 6,568.12

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Solution

The fourth proportional to 11,603.96, 16,013.32 and 6,568.12 is: 9,063.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,603.96 : 16,013.32 = 6,568.12 : x
  2. Step 2: Convert to fraction form
    11,603.96/16,013.32 = 6,568.12/x
  3. Step 3: Cross multiply
    11,603.96x = 16,013.32 × 6,568.12
  4. Step 4: Simplify right side
    11,603.96x = 105,177,407.36
  5. Step 5: Solve for x
    x = 105,177,407.36/11,603.96
  6. Step 6: Final answer
    x = 9,063.92

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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.