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Finding the Fourth Proportional to 12,488.36, 18,714 and 5,083.76

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Solution

The fourth proportional to 12,488.36, 18,714 and 5,083.76 is: 7,618.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,488.36 : 18,714 = 5,083.76 : x
  2. Step 2: Convert to fraction form
    12,488.36/18,714 = 5,083.76/x
  3. Step 3: Cross multiply
    12,488.36x = 18,714 × 5,083.76
  4. Step 4: Simplify right side
    12,488.36x = 95,137,484.64
  5. Step 5: Solve for x
    x = 95,137,484.64/12,488.36
  6. Step 6: Final answer
    x = 7,618.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.