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Finding the Fourth Proportional to 12,779.94, 19,163.43 and 5,848.50

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Solution

The fourth proportional to 12,779.94, 19,163.43 and 5,848.50 is: 8,769.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,779.94 : 19,163.43 = 5,848.50 : x
  2. Step 2: Convert to fraction form
    12,779.94/19,163.43 = 5,848.50/x
  3. Step 3: Cross multiply
    12,779.94x = 19,163.43 × 5,848.50
  4. Step 4: Simplify right side
    12,779.94x = 112,077,320.36
  5. Step 5: Solve for x
    x = 112,077,320.36/12,779.94
  6. Step 6: Final answer
    x = 8,769.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.