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Finding the Fourth Proportional to 10,854.68, 14,993.52 and 8,027.84

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Solution

The fourth proportional to 10,854.68, 14,993.52 and 8,027.84 is: 11,088.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,854.68 : 14,993.52 = 8,027.84 : x
  2. Step 2: Convert to fraction form
    10,854.68/14,993.52 = 8,027.84/x
  3. Step 3: Cross multiply
    10,854.68x = 14,993.52 × 8,027.84
  4. Step 4: Simplify right side
    10,854.68x = 120,365,579.60
  5. Step 5: Solve for x
    x = 120,365,579.60/10,854.68
  6. Step 6: Final answer
    x = 11,088.82

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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.