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Finding the Fourth Proportional to 12,810.79, 19,211.57 and 5,415.83

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Solution

The fourth proportional to 12,810.79, 19,211.57 and 5,415.83 is: 8,121.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,810.79 : 19,211.57 = 5,415.83 : x
  2. Step 2: Convert to fraction form
    12,810.79/19,211.57 = 5,415.83/x
  3. Step 3: Cross multiply
    12,810.79x = 19,211.57 × 5,415.83
  4. Step 4: Simplify right side
    12,810.79x = 104,046,566.37
  5. Step 5: Solve for x
    x = 104,046,566.37/12,810.79
  6. Step 6: Final answer
    x = 8,121.79

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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.