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Finding the Fourth Proportional to 8,194.42, 11,307.84 and 4,657.36

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Solution

The fourth proportional to 8,194.42, 11,307.84 and 4,657.36 is: 6,426.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,194.42 : 11,307.84 = 4,657.36 : x
  2. Step 2: Convert to fraction form
    8,194.42/11,307.84 = 4,657.36/x
  3. Step 3: Cross multiply
    8,194.42x = 11,307.84 × 4,657.36
  4. Step 4: Simplify right side
    8,194.42x = 52,664,681.70
  5. Step 5: Solve for x
    x = 52,664,681.70/8,194.42
  6. Step 6: Final answer
    x = 6,426.90

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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.