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Finding the Fourth Proportional to 8,396.90, 12,590.99 and 2,473.01

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Solution

The fourth proportional to 8,396.90, 12,590.99 and 2,473.01 is: 3,708.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,396.90 : 12,590.99 = 2,473.01 : x
  2. Step 2: Convert to fraction form
    8,396.90/12,590.99 = 2,473.01/x
  3. Step 3: Cross multiply
    8,396.90x = 12,590.99 × 2,473.01
  4. Step 4: Simplify right side
    8,396.90x = 31,137,681.84
  5. Step 5: Solve for x
    x = 31,137,681.84/8,396.90
  6. Step 6: Final answer
    x = 3,708.24

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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.