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Finding the Fourth Proportional to 10,727.79, 14,803.74 and 6,012.38

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Solution

The fourth proportional to 10,727.79, 14,803.74 and 6,012.38 is: 8,296.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,727.79 : 14,803.74 = 6,012.38 : x
  2. Step 2: Convert to fraction form
    10,727.79/14,803.74 = 6,012.38/x
  3. Step 3: Cross multiply
    10,727.79x = 14,803.74 × 6,012.38
  4. Step 4: Simplify right side
    10,727.79x = 89,005,636.28
  5. Step 5: Solve for x
    x = 89,005,636.28/10,727.79
  6. Step 6: Final answer
    x = 8,296.74

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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.