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Finding the Fourth Proportional to 10,047.24, 15,070.86 and 5,668.38

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Solution

The fourth proportional to 10,047.24, 15,070.86 and 5,668.38 is: 8,502.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,047.24 : 15,070.86 = 5,668.38 : x
  2. Step 2: Convert to fraction form
    10,047.24/15,070.86 = 5,668.38/x
  3. Step 3: Cross multiply
    10,047.24x = 15,070.86 × 5,668.38
  4. Step 4: Simplify right side
    10,047.24x = 85,427,361.41
  5. Step 5: Solve for x
    x = 85,427,361.41/10,047.24
  6. Step 6: Final answer
    x = 8,502.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.