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Finding the Fourth Proportional to 10,661.32, 14,712.06 and 5,945.86

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Solution

The fourth proportional to 10,661.32, 14,712.06 and 5,945.86 is: 8,204.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,661.32 : 14,712.06 = 5,945.86 : x
  2. Step 2: Convert to fraction form
    10,661.32/14,712.06 = 5,945.86/x
  3. Step 3: Cross multiply
    10,661.32x = 14,712.06 × 5,945.86
  4. Step 4: Simplify right side
    10,661.32x = 87,475,849.07
  5. Step 5: Solve for x
    x = 87,475,849.07/10,661.32
  6. Step 6: Final answer
    x = 8,204.97

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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.