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Finding the Fourth Proportional to 10,817, 14,927.48 and 5,849

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Solution

The fourth proportional to 10,817, 14,927.48 and 5,849 is: 8,071.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,817 : 14,927.48 = 5,849 : x
  2. Step 2: Convert to fraction form
    10,817/14,927.48 = 5,849/x
  3. Step 3: Cross multiply
    10,817x = 14,927.48 × 5,849
  4. Step 4: Simplify right side
    10,817x = 87,310,830.52
  5. Step 5: Solve for x
    x = 87,310,830.52/10,817
  6. Step 6: Final answer
    x = 8,071.63

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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.