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Finding the Fourth Proportional to 10,113.14, 13,953.78 and 6,133.46

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Solution

The fourth proportional to 10,113.14, 13,953.78 and 6,133.46 is: 8,462.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,113.14 : 13,953.78 = 6,133.46 : x
  2. Step 2: Convert to fraction form
    10,113.14/13,953.78 = 6,133.46/x
  3. Step 3: Cross multiply
    10,113.14x = 13,953.78 × 6,133.46
  4. Step 4: Simplify right side
    10,113.14x = 85,584,951.48
  5. Step 5: Solve for x
    x = 85,584,951.48/10,113.14
  6. Step 6: Final answer
    x = 8,462.75

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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.