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Finding the Fourth Proportional to 12,762.15, 19,110.41 and 7,816.79

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Solution

The fourth proportional to 12,762.15, 19,110.41 and 7,816.79 is: 11,705.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,762.15 : 19,110.41 = 7,816.79 : x
  2. Step 2: Convert to fraction form
    12,762.15/19,110.41 = 7,816.79/x
  3. Step 3: Cross multiply
    12,762.15x = 19,110.41 × 7,816.79
  4. Step 4: Simplify right side
    12,762.15x = 149,382,061.78
  5. Step 5: Solve for x
    x = 149,382,061.78/12,762.15
  6. Step 6: Final answer
    x = 11,705.09

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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.