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Finding the Fourth Proportional to 10,099, 13,931.76 and 6,270.94

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Solution

The fourth proportional to 10,099, 13,931.76 and 6,270.94 is: 8,650.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,099 : 13,931.76 = 6,270.94 : x
  2. Step 2: Convert to fraction form
    10,099/13,931.76 = 6,270.94/x
  3. Step 3: Cross multiply
    10,099x = 13,931.76 × 6,270.94
  4. Step 4: Simplify right side
    10,099x = 87,365,231.05
  5. Step 5: Solve for x
    x = 87,365,231.05/10,099
  6. Step 6: Final answer
    x = 8,650.88

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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.