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Finding the Fourth Proportional to 11,880.66, 16,395.34 and 6,575.84

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Solution

The fourth proportional to 11,880.66, 16,395.34 and 6,575.84 is: 9,074.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,880.66 : 16,395.34 = 6,575.84 : x
  2. Step 2: Convert to fraction form
    11,880.66/16,395.34 = 6,575.84/x
  3. Step 3: Cross multiply
    11,880.66x = 16,395.34 × 6,575.84
  4. Step 4: Simplify right side
    11,880.66x = 107,813,132.59
  5. Step 5: Solve for x
    x = 107,813,132.59/11,880.66
  6. Step 6: Final answer
    x = 9,074.68

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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.