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Finding the Fourth Proportional to 10,785.95, 14,884.21 and 6,006.09

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Solution

The fourth proportional to 10,785.95, 14,884.21 and 6,006.09 is: 8,288.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,785.95 : 14,884.21 = 6,006.09 : x
  2. Step 2: Convert to fraction form
    10,785.95/14,884.21 = 6,006.09/x
  3. Step 3: Cross multiply
    10,785.95x = 14,884.21 × 6,006.09
  4. Step 4: Simplify right side
    10,785.95x = 89,395,904.84
  5. Step 5: Solve for x
    x = 89,395,904.84/10,785.95
  6. Step 6: Final answer
    x = 8,288.18

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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.