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Finding the Fourth Proportional to 10,601.31, 14,630.31 and 5,885.63

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Solution

The fourth proportional to 10,601.31, 14,630.31 and 5,885.63 is: 8,122.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,601.31 : 14,630.31 = 5,885.63 : x
  2. Step 2: Convert to fraction form
    10,601.31/14,630.31 = 5,885.63/x
  3. Step 3: Cross multiply
    10,601.31x = 14,630.31 × 5,885.63
  4. Step 4: Simplify right side
    10,601.31x = 86,108,518.29
  5. Step 5: Solve for x
    x = 86,108,518.29/10,601.31
  6. Step 6: Final answer
    x = 8,122.44

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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.