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Finding the Fourth Proportional to 8,980.96, 13,470.16 and 2,407.68

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Solution

The fourth proportional to 8,980.96, 13,470.16 and 2,407.68 is: 3,611.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,980.96 : 13,470.16 = 2,407.68 : x
  2. Step 2: Convert to fraction form
    8,980.96/13,470.16 = 2,407.68/x
  3. Step 3: Cross multiply
    8,980.96x = 13,470.16 × 2,407.68
  4. Step 4: Simplify right side
    8,980.96x = 32,431,834.83
  5. Step 5: Solve for x
    x = 32,431,834.83/8,980.96
  6. Step 6: Final answer
    x = 3,611.18

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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.