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Finding the Fourth Proportional to 10,299.13, 14,214.92 and 5,823.07

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Solution

The fourth proportional to 10,299.13, 14,214.92 and 5,823.07 is: 8,037.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,299.13 : 14,214.92 = 5,823.07 : x
  2. Step 2: Convert to fraction form
    10,299.13/14,214.92 = 5,823.07/x
  3. Step 3: Cross multiply
    10,299.13x = 14,214.92 × 5,823.07
  4. Step 4: Simplify right side
    10,299.13x = 82,774,474.20
  5. Step 5: Solve for x
    x = 82,774,474.20/10,299.13
  6. Step 6: Final answer
    x = 8,037.04

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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.