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Finding the Fourth Proportional to 10,071.14, 13,898.99 and 5,823.65

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Solution

The fourth proportional to 10,071.14, 13,898.99 and 5,823.65 is: 8,037.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,071.14 : 13,898.99 = 5,823.65 : x
  2. Step 2: Convert to fraction form
    10,071.14/13,898.99 = 5,823.65/x
  3. Step 3: Cross multiply
    10,071.14x = 13,898.99 × 5,823.65
  4. Step 4: Simplify right side
    10,071.14x = 80,942,824.24
  5. Step 5: Solve for x
    x = 80,942,824.24/10,071.14
  6. Step 6: Final answer
    x = 8,037.11

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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.