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Finding the Fourth Proportional to 10,507.41, 14,493.78 and 6,255.63

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Solution

The fourth proportional to 10,507.41, 14,493.78 and 6,255.63 is: 8,628.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,507.41 : 14,493.78 = 6,255.63 : x
  2. Step 2: Convert to fraction form
    10,507.41/14,493.78 = 6,255.63/x
  3. Step 3: Cross multiply
    10,507.41x = 14,493.78 × 6,255.63
  4. Step 4: Simplify right side
    10,507.41x = 90,667,724.98
  5. Step 5: Solve for x
    x = 90,667,724.98/10,507.41
  6. Step 6: Final answer
    x = 8,628.93

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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.