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Finding the Fourth Proportional to 11,873.61, 16,385.70 and 6,568.53

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Solution

The fourth proportional to 11,873.61, 16,385.70 and 6,568.53 is: 9,064.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,873.61 : 16,385.70 = 6,568.53 : x
  2. Step 2: Convert to fraction form
    11,873.61/16,385.70 = 6,568.53/x
  3. Step 3: Cross multiply
    11,873.61x = 16,385.70 × 6,568.53
  4. Step 4: Simplify right side
    11,873.61x = 107,629,962.02
  5. Step 5: Solve for x
    x = 107,629,962.02/11,873.61
  6. Step 6: Final answer
    x = 9,064.64

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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.