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Finding the Fourth Proportional to 10,396.37, 15,592.66 and 2,999

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Solution

The fourth proportional to 10,396.37, 15,592.66 and 2,999 is: 4,497.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,396.37 : 15,592.66 = 2,999 : x
  2. Step 2: Convert to fraction form
    10,396.37/15,592.66 = 2,999/x
  3. Step 3: Cross multiply
    10,396.37x = 15,592.66 × 2,999
  4. Step 4: Simplify right side
    10,396.37x = 46,762,387.34
  5. Step 5: Solve for x
    x = 46,762,387.34/10,396.37
  6. Step 6: Final answer
    x = 4,497.95

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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.