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Finding the Fourth Proportional to 8,211.65, 12,317.58 and 2,368.31

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Solution

The fourth proportional to 8,211.65, 12,317.58 and 2,368.31 is: 3,552.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,211.65 : 12,317.58 = 2,368.31 : x
  2. Step 2: Convert to fraction form
    8,211.65/12,317.58 = 2,368.31/x
  3. Step 3: Cross multiply
    8,211.65x = 12,317.58 × 2,368.31
  4. Step 4: Simplify right side
    8,211.65x = 29,171,878.68
  5. Step 5: Solve for x
    x = 29,171,878.68/8,211.65
  6. Step 6: Final answer
    x = 3,552.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.