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Finding the Fourth Proportional to 8,389.44, 12,582.72 and 2,232

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Solution

The fourth proportional to 8,389.44, 12,582.72 and 2,232 is: 3,347.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,389.44 : 12,582.72 = 2,232 : x
  2. Step 2: Convert to fraction form
    8,389.44/12,582.72 = 2,232/x
  3. Step 3: Cross multiply
    8,389.44x = 12,582.72 × 2,232
  4. Step 4: Simplify right side
    8,389.44x = 28,084,631.04
  5. Step 5: Solve for x
    x = 28,084,631.04/8,389.44
  6. Step 6: Final answer
    x = 3,347.62

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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.