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Finding the Fourth Proportional to 10,196.64, 14,070.88 and 6,005.12

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Solution

The fourth proportional to 10,196.64, 14,070.88 and 6,005.12 is: 8,286.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,196.64 : 14,070.88 = 6,005.12 : x
  2. Step 2: Convert to fraction form
    10,196.64/14,070.88 = 6,005.12/x
  3. Step 3: Cross multiply
    10,196.64x = 14,070.88 × 6,005.12
  4. Step 4: Simplify right side
    10,196.64x = 84,497,322.91
  5. Step 5: Solve for x
    x = 84,497,322.91/10,196.64
  6. Step 6: Final answer
    x = 8,286.78

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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.