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Finding the Fourth Proportional to 10,499.31, 14,484.89 and 7,311.76

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Solution

The fourth proportional to 10,499.31, 14,484.89 and 7,311.76 is: 10,087.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,499.31 : 14,484.89 = 7,311.76 : x
  2. Step 2: Convert to fraction form
    10,499.31/14,484.89 = 7,311.76/x
  3. Step 3: Cross multiply
    10,499.31x = 14,484.89 × 7,311.76
  4. Step 4: Simplify right side
    10,499.31x = 105,910,021.37
  5. Step 5: Solve for x
    x = 105,910,021.37/10,499.31
  6. Step 6: Final answer
    x = 10,087.33

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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.