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Finding the Fourth Proportional to 12,287.27, 18,413.29 and 7,011.34

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Solution

The fourth proportional to 12,287.27, 18,413.29 and 7,011.34 is: 10,506.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,287.27 : 18,413.29 = 7,011.34 : x
  2. Step 2: Convert to fraction form
    12,287.27/18,413.29 = 7,011.34/x
  3. Step 3: Cross multiply
    12,287.27x = 18,413.29 × 7,011.34
  4. Step 4: Simplify right side
    12,287.27x = 129,101,836.71
  5. Step 5: Solve for x
    x = 129,101,836.71/12,287.27
  6. Step 6: Final answer
    x = 10,506.96

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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.