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Finding the Fourth Proportional to 12,412.76, 18,611.94 and 5,011.16

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Solution

The fourth proportional to 12,412.76, 18,611.94 and 5,011.16 is: 7,513.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,412.76 : 18,611.94 = 5,011.16 : x
  2. Step 2: Convert to fraction form
    12,412.76/18,611.94 = 5,011.16/x
  3. Step 3: Cross multiply
    12,412.76x = 18,611.94 × 5,011.16
  4. Step 4: Simplify right side
    12,412.76x = 93,267,409.25
  5. Step 5: Solve for x
    x = 93,267,409.25/12,412.76
  6. Step 6: Final answer
    x = 7,513.83

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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.