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Finding the Fourth Proportional to 10,649.77, 14,696.70 and 6,176.13

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Solution

The fourth proportional to 10,649.77, 14,696.70 and 6,176.13 is: 8,523.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,649.77 : 14,696.70 = 6,176.13 : x
  2. Step 2: Convert to fraction form
    10,649.77/14,696.70 = 6,176.13/x
  3. Step 3: Cross multiply
    10,649.77x = 14,696.70 × 6,176.13
  4. Step 4: Simplify right side
    10,649.77x = 90,768,686.24
  5. Step 5: Solve for x
    x = 90,768,686.24/10,649.77
  6. Step 6: Final answer
    x = 8,523.06

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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.