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Finding the Fourth Proportional to 10,196.93, 14,071.67 and 5,720.68

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Solution

The fourth proportional to 10,196.93, 14,071.67 and 5,720.68 is: 7,894.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,196.93 : 14,071.67 = 5,720.68 : x
  2. Step 2: Convert to fraction form
    10,196.93/14,071.67 = 5,720.68/x
  3. Step 3: Cross multiply
    10,196.93x = 14,071.67 × 5,720.68
  4. Step 4: Simplify right side
    10,196.93x = 80,499,484.60
  5. Step 5: Solve for x
    x = 80,499,484.60/10,196.93
  6. Step 6: Final answer
    x = 7,894.49

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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.