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Finding the Fourth Proportional to 10,671.65, 14,727.71 and 6,196.80

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Solution

The fourth proportional to 10,671.65, 14,727.71 and 6,196.80 is: 8,552.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,671.65 : 14,727.71 = 6,196.80 : x
  2. Step 2: Convert to fraction form
    10,671.65/14,727.71 = 6,196.80/x
  3. Step 3: Cross multiply
    10,671.65x = 14,727.71 × 6,196.80
  4. Step 4: Simplify right side
    10,671.65x = 91,264,688.82
  5. Step 5: Solve for x
    x = 91,264,688.82/10,671.65
  6. Step 6: Final answer
    x = 8,552.07

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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.