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Finding the Fourth Proportional to 10,861.30, 14,990.91 and 8,315.83

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Solution

The fourth proportional to 10,861.30, 14,990.91 and 8,315.83 is: 11,477.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,861.30 : 14,990.91 = 8,315.83 : x
  2. Step 2: Convert to fraction form
    10,861.30/14,990.91 = 8,315.83/x
  3. Step 3: Cross multiply
    10,861.30x = 14,990.91 × 8,315.83
  4. Step 4: Simplify right side
    10,861.30x = 124,661,859.11
  5. Step 5: Solve for x
    x = 124,661,859.11/10,861.30
  6. Step 6: Final answer
    x = 11,477.62

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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.