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Finding the Fourth Proportional to 10,216.88, 14,099.10 and 5,740.64

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Solution

The fourth proportional to 10,216.88, 14,099.10 and 5,740.64 is: 7,921.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,216.88 : 14,099.10 = 5,740.64 : x
  2. Step 2: Convert to fraction form
    10,216.88/14,099.10 = 5,740.64/x
  3. Step 3: Cross multiply
    10,216.88x = 14,099.10 × 5,740.64
  4. Step 4: Simplify right side
    10,216.88x = 80,937,857.42
  5. Step 5: Solve for x
    x = 80,937,857.42/10,216.88
  6. Step 6: Final answer
    x = 7,921.97

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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.