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Finding the Fourth Proportional to 10,516.83, 14,513.20 and 6,040.87

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Solution

The fourth proportional to 10,516.83, 14,513.20 and 6,040.87 is: 8,336.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,516.83 : 14,513.20 = 6,040.87 : x
  2. Step 2: Convert to fraction form
    10,516.83/14,513.20 = 6,040.87/x
  3. Step 3: Cross multiply
    10,516.83x = 14,513.20 × 6,040.87
  4. Step 4: Simplify right side
    10,516.83x = 87,672,357.52
  5. Step 5: Solve for x
    x = 87,672,357.52/10,516.83
  6. Step 6: Final answer
    x = 8,336.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.