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Finding the Fourth Proportional to 10,116.68, 15,175.02 and 6,653.12

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Solution

The fourth proportional to 10,116.68, 15,175.02 and 6,653.12 is: 9,979.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,116.68 : 15,175.02 = 6,653.12 : x
  2. Step 2: Convert to fraction form
    10,116.68/15,175.02 = 6,653.12/x
  3. Step 3: Cross multiply
    10,116.68x = 15,175.02 × 6,653.12
  4. Step 4: Simplify right side
    10,116.68x = 100,961,229.06
  5. Step 5: Solve for x
    x = 100,961,229.06/10,116.68
  6. Step 6: Final answer
    x = 9,979.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.