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Finding the Fourth Proportional to 8,623.52, 12,933.16 and 2,780.16

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Solution

The fourth proportional to 8,623.52, 12,933.16 and 2,780.16 is: 4,169.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,623.52 : 12,933.16 = 2,780.16 : x
  2. Step 2: Convert to fraction form
    8,623.52/12,933.16 = 2,780.16/x
  3. Step 3: Cross multiply
    8,623.52x = 12,933.16 × 2,780.16
  4. Step 4: Simplify right side
    8,623.52x = 35,956,254.11
  5. Step 5: Solve for x
    x = 35,956,254.11/8,623.52
  6. Step 6: Final answer
    x = 4,169.56

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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.