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Finding the Fourth Proportional to 10,509.80, 15,767.58 and 8,325.80

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Solution

The fourth proportional to 10,509.80, 15,767.58 and 8,325.80 is: 12,490.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,509.80 : 15,767.58 = 8,325.80 : x
  2. Step 2: Convert to fraction form
    10,509.80/15,767.58 = 8,325.80/x
  3. Step 3: Cross multiply
    10,509.80x = 15,767.58 × 8,325.80
  4. Step 4: Simplify right side
    10,509.80x = 131,277,717.56
  5. Step 5: Solve for x
    x = 131,277,717.56/10,509.80
  6. Step 6: Final answer
    x = 12,490.98

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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.