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Finding the Fourth Proportional to 10,656.39, 14,705.28 and 5,939.76

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Solution

The fourth proportional to 10,656.39, 14,705.28 and 5,939.76 is: 8,196.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,656.39 : 14,705.28 = 5,939.76 : x
  2. Step 2: Convert to fraction form
    10,656.39/14,705.28 = 5,939.76/x
  3. Step 3: Cross multiply
    10,656.39x = 14,705.28 × 5,939.76
  4. Step 4: Simplify right side
    10,656.39x = 87,345,833.93
  5. Step 5: Solve for x
    x = 87,345,833.93/10,656.39
  6. Step 6: Final answer
    x = 8,196.57

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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.