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Finding the Fourth Proportional to 12,858.78, 19,288.20 and 5,462.16

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Solution

The fourth proportional to 12,858.78, 19,288.20 and 5,462.16 is: 8,193.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,858.78 : 19,288.20 = 5,462.16 : x
  2. Step 2: Convert to fraction form
    12,858.78/19,288.20 = 5,462.16/x
  3. Step 3: Cross multiply
    12,858.78x = 19,288.20 × 5,462.16
  4. Step 4: Simplify right side
    12,858.78x = 105,355,234.51
  5. Step 5: Solve for x
    x = 105,355,234.51/12,858.78
  6. Step 6: Final answer
    x = 8,193.25

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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.