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Finding the Fourth Proportional to 8,905.74, 12,290.76 and 5,371.86

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Solution

The fourth proportional to 8,905.74, 12,290.76 and 5,371.86 is: 7,413.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,905.74 : 12,290.76 = 5,371.86 : x
  2. Step 2: Convert to fraction form
    8,905.74/12,290.76 = 5,371.86/x
  3. Step 3: Cross multiply
    8,905.74x = 12,290.76 × 5,371.86
  4. Step 4: Simplify right side
    8,905.74x = 66,024,242.01
  5. Step 5: Solve for x
    x = 66,024,242.01/8,905.74
  6. Step 6: Final answer
    x = 7,413.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.