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Finding the Fourth Proportional to 11,873.84, 16,386.56 and 6,568.64

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Solution

The fourth proportional to 11,873.84, 16,386.56 and 6,568.64 is: 9,065.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,873.84 : 16,386.56 = 6,568.64 : x
  2. Step 2: Convert to fraction form
    11,873.84/16,386.56 = 6,568.64/x
  3. Step 3: Cross multiply
    11,873.84x = 16,386.56 × 6,568.64
  4. Step 4: Simplify right side
    11,873.84x = 107,637,413.48
  5. Step 5: Solve for x
    x = 107,637,413.48/11,873.84
  6. Step 6: Final answer
    x = 9,065.09

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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.