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Finding the Fourth Proportional to 10,076.16, 13,905.12 and 5,599.80

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Solution

The fourth proportional to 10,076.16, 13,905.12 and 5,599.80 is: 7,727.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,076.16 : 13,905.12 = 5,599.80 : x
  2. Step 2: Convert to fraction form
    10,076.16/13,905.12 = 5,599.80/x
  3. Step 3: Cross multiply
    10,076.16x = 13,905.12 × 5,599.80
  4. Step 4: Simplify right side
    10,076.16x = 77,865,890.98
  5. Step 5: Solve for x
    x = 77,865,890.98/10,076.16
  6. Step 6: Final answer
    x = 7,727.73

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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.