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Finding the Fourth Proportional to 10,396.01, 14,346.70 and 5,680.59

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Solution

The fourth proportional to 10,396.01, 14,346.70 and 5,680.59 is: 7,839.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,396.01 : 14,346.70 = 5,680.59 : x
  2. Step 2: Convert to fraction form
    10,396.01/14,346.70 = 5,680.59/x
  3. Step 3: Cross multiply
    10,396.01x = 14,346.70 × 5,680.59
  4. Step 4: Simplify right side
    10,396.01x = 81,497,706.35
  5. Step 5: Solve for x
    x = 81,497,706.35/10,396.01
  6. Step 6: Final answer
    x = 7,839.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.