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Finding the Fourth Proportional to 10,649.78, 14,696.69 and 6,176.12

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Solution

The fourth proportional to 10,649.78, 14,696.69 and 6,176.12 is: 8,523.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,649.78 : 14,696.69 = 6,176.12 : x
  2. Step 2: Convert to fraction form
    10,649.78/14,696.69 = 6,176.12/x
  3. Step 3: Cross multiply
    10,649.78x = 14,696.69 × 6,176.12
  4. Step 4: Simplify right side
    10,649.78x = 90,768,539.41
  5. Step 5: Solve for x
    x = 90,768,539.41/10,649.78
  6. Step 6: Final answer
    x = 8,523.05

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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.