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Finding the Fourth Proportional to 10,696.96, 16,039.68 and 4,117.12

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Solution

The fourth proportional to 10,696.96, 16,039.68 and 4,117.12 is: 6,173.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,696.96 : 16,039.68 = 4,117.12 : x
  2. Step 2: Convert to fraction form
    10,696.96/16,039.68 = 4,117.12/x
  3. Step 3: Cross multiply
    10,696.96x = 16,039.68 × 4,117.12
  4. Step 4: Simplify right side
    10,696.96x = 66,037,287.32
  5. Step 5: Solve for x
    x = 66,037,287.32/10,696.96
  6. Step 6: Final answer
    x = 6,173.46

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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.