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Finding the Fourth Proportional to 10,299.68, 14,214.35 and 5,823.93

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Solution

The fourth proportional to 10,299.68, 14,214.35 and 5,823.93 is: 8,037.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,299.68 : 14,214.35 = 5,823.93 : x
  2. Step 2: Convert to fraction form
    10,299.68/14,214.35 = 5,823.93/x
  3. Step 3: Cross multiply
    10,299.68x = 14,214.35 × 5,823.93
  4. Step 4: Simplify right side
    10,299.68x = 82,783,350.28
  5. Step 5: Solve for x
    x = 82,783,350.28/10,299.68
  6. Step 6: Final answer
    x = 8,037.47

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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.