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Finding the Fourth Proportional to 8,509.26, 12,763.90 and 3,315.13

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Solution

The fourth proportional to 8,509.26, 12,763.90 and 3,315.13 is: 4,972.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,509.26 : 12,763.90 = 3,315.13 : x
  2. Step 2: Convert to fraction form
    8,509.26/12,763.90 = 3,315.13/x
  3. Step 3: Cross multiply
    8,509.26x = 12,763.90 × 3,315.13
  4. Step 4: Simplify right side
    8,509.26x = 42,313,987.81
  5. Step 5: Solve for x
    x = 42,313,987.81/8,509.26
  6. Step 6: Final answer
    x = 4,972.70

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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.