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Finding the Fourth Proportional to 10,601.96, 14,631.06 and 5,885.80

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Solution

The fourth proportional to 10,601.96, 14,631.06 and 5,885.80 is: 8,122.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,601.96 : 14,631.06 = 5,885.80 : x
  2. Step 2: Convert to fraction form
    10,601.96/14,631.06 = 5,885.80/x
  3. Step 3: Cross multiply
    10,601.96x = 14,631.06 × 5,885.80
  4. Step 4: Simplify right side
    10,601.96x = 86,115,492.95
  5. Step 5: Solve for x
    x = 86,115,492.95/10,601.96
  6. Step 6: Final answer
    x = 8,122.60

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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.