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Finding the Fourth Proportional to 12,718.36, 19,077.54 and 5,788

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Solution

The fourth proportional to 12,718.36, 19,077.54 and 5,788 is: 8,682

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,718.36 : 19,077.54 = 5,788 : x
  2. Step 2: Convert to fraction form
    12,718.36/19,077.54 = 5,788/x
  3. Step 3: Cross multiply
    12,718.36x = 19,077.54 × 5,788
  4. Step 4: Simplify right side
    12,718.36x = 110,420,801.52
  5. Step 5: Solve for x
    x = 110,420,801.52/12,718.36
  6. Step 6: Final answer
    x = 8,682

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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.