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Finding the Fourth Proportional to 10,900.98, 15,046.23 and 6,427.71

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Solution

The fourth proportional to 10,900.98, 15,046.23 and 6,427.71 is: 8,871.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,900.98 : 15,046.23 = 6,427.71 : x
  2. Step 2: Convert to fraction form
    10,900.98/15,046.23 = 6,427.71/x
  3. Step 3: Cross multiply
    10,900.98x = 15,046.23 × 6,427.71
  4. Step 4: Simplify right side
    10,900.98x = 96,712,786.96
  5. Step 5: Solve for x
    x = 96,712,786.96/10,900.98
  6. Step 6: Final answer
    x = 8,871.94

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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.