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Finding the Fourth Proportional to 8,919.36, 12,308.68 and 5,142.50

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Solution

The fourth proportional to 8,919.36, 12,308.68 and 5,142.50 is: 7,096.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,919.36 : 12,308.68 = 5,142.50 : x
  2. Step 2: Convert to fraction form
    8,919.36/12,308.68 = 5,142.50/x
  3. Step 3: Cross multiply
    8,919.36x = 12,308.68 × 5,142.50
  4. Step 4: Simplify right side
    8,919.36x = 63,297,404.82
  5. Step 5: Solve for x
    x = 63,297,404.82/8,919.36
  6. Step 6: Final answer
    x = 7,096.63

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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.