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Finding the Fourth Proportional to 10,370.92, 14,312.89 and 6,123.38

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Solution

The fourth proportional to 10,370.92, 14,312.89 and 6,123.38 is: 8,450.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,370.92 : 14,312.89 = 6,123.38 : x
  2. Step 2: Convert to fraction form
    10,370.92/14,312.89 = 6,123.38/x
  3. Step 3: Cross multiply
    10,370.92x = 14,312.89 × 6,123.38
  4. Step 4: Simplify right side
    10,370.92x = 87,643,264.37
  5. Step 5: Solve for x
    x = 87,643,264.37/10,370.92
  6. Step 6: Final answer
    x = 8,450.87

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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.