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Finding the Fourth Proportional to 6,196.76, 8,551.59 and 3,364.16

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Solution

The fourth proportional to 6,196.76, 8,551.59 and 3,364.16 is: 4,642.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,196.76 : 8,551.59 = 3,364.16 : x
  2. Step 2: Convert to fraction form
    6,196.76/8,551.59 = 3,364.16/x
  3. Step 3: Cross multiply
    6,196.76x = 8,551.59 × 3,364.16
  4. Step 4: Simplify right side
    6,196.76x = 28,768,874.26
  5. Step 5: Solve for x
    x = 28,768,874.26/6,196.76
  6. Step 6: Final answer
    x = 4,642.57

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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.