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Finding the Fourth Proportional to 8,690.42, 11,993.87 and 4,913.80

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Solution

The fourth proportional to 8,690.42, 11,993.87 and 4,913.80 is: 6,781.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,690.42 : 11,993.87 = 4,913.80 : x
  2. Step 2: Convert to fraction form
    8,690.42/11,993.87 = 4,913.80/x
  3. Step 3: Cross multiply
    8,690.42x = 11,993.87 × 4,913.80
  4. Step 4: Simplify right side
    8,690.42x = 58,935,460.71
  5. Step 5: Solve for x
    x = 58,935,460.71/8,690.42
  6. Step 6: Final answer
    x = 6,781.66

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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.