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Finding the Fourth Proportional to 10,671.78, 14,727.63 and 5,956.02

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Solution

The fourth proportional to 10,671.78, 14,727.63 and 5,956.02 is: 8,219.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,671.78 : 14,727.63 = 5,956.02 : x
  2. Step 2: Convert to fraction form
    10,671.78/14,727.63 = 5,956.02/x
  3. Step 3: Cross multiply
    10,671.78x = 14,727.63 × 5,956.02
  4. Step 4: Simplify right side
    10,671.78x = 87,718,058.83
  5. Step 5: Solve for x
    x = 87,718,058.83/10,671.78
  6. Step 6: Final answer
    x = 8,219.63

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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.