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Finding the Fourth Proportional to 12,861.58, 19,289.02 and 5,462.22

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Solution

The fourth proportional to 12,861.58, 19,289.02 and 5,462.22 is: 8,191.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,861.58 : 19,289.02 = 5,462.22 : x
  2. Step 2: Convert to fraction form
    12,861.58/19,289.02 = 5,462.22/x
  3. Step 3: Cross multiply
    12,861.58x = 19,289.02 × 5,462.22
  4. Step 4: Simplify right side
    12,861.58x = 105,360,870.82
  5. Step 5: Solve for x
    x = 105,360,870.82/12,861.58
  6. Step 6: Final answer
    x = 8,191.91

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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.