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Finding the Fourth Proportional to 12,708.36, 19,062.54 and 5,778

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Solution

The fourth proportional to 12,708.36, 19,062.54 and 5,778 is: 8,667

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,708.36 : 19,062.54 = 5,778 : x
  2. Step 2: Convert to fraction form
    12,708.36/19,062.54 = 5,778/x
  3. Step 3: Cross multiply
    12,708.36x = 19,062.54 × 5,778
  4. Step 4: Simplify right side
    12,708.36x = 110,143,356.12
  5. Step 5: Solve for x
    x = 110,143,356.12/12,708.36
  6. Step 6: Final answer
    x = 8,667

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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.