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Finding the Fourth Proportional to 10,671.64, 14,727.09 and 5,955.82

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Solution

The fourth proportional to 10,671.64, 14,727.09 and 5,955.82 is: 8,219.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,671.64 : 14,727.09 = 5,955.82 : x
  2. Step 2: Convert to fraction form
    10,671.64/14,727.09 = 5,955.82/x
  3. Step 3: Cross multiply
    10,671.64x = 14,727.09 × 5,955.82
  4. Step 4: Simplify right side
    10,671.64x = 87,711,897.16
  5. Step 5: Solve for x
    x = 87,711,897.16/10,671.64
  6. Step 6: Final answer
    x = 8,219.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.