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Finding the Fourth Proportional to 10,196.61, 14,071.11 and 5,659.03

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Solution

The fourth proportional to 10,196.61, 14,071.11 and 5,659.03 is: 7,809.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,196.61 : 14,071.11 = 5,659.03 : x
  2. Step 2: Convert to fraction form
    10,196.61/14,071.11 = 5,659.03/x
  3. Step 3: Cross multiply
    10,196.61x = 14,071.11 × 5,659.03
  4. Step 4: Simplify right side
    10,196.61x = 79,628,844.54
  5. Step 5: Solve for x
    x = 79,628,844.54/10,196.61
  6. Step 6: Final answer
    x = 7,809.34

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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.