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Finding the Fourth Proportional to 6,512.13, 8,986.68 and 3,717.63

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Solution

The fourth proportional to 6,512.13, 8,986.68 and 3,717.63 is: 5,130.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,512.13 : 8,986.68 = 3,717.63 : x
  2. Step 2: Convert to fraction form
    6,512.13/8,986.68 = 3,717.63/x
  3. Step 3: Cross multiply
    6,512.13x = 8,986.68 × 3,717.63
  4. Step 4: Simplify right side
    6,512.13x = 33,409,151.17
  5. Step 5: Solve for x
    x = 33,409,151.17/6,512.13
  6. Step 6: Final answer
    x = 5,130.30

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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.