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Finding the Fourth Proportional to 11,640.34, 16,045.02 and 7,862.32

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Solution

The fourth proportional to 11,640.34, 16,045.02 and 7,862.32 is: 10,837.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,640.34 : 16,045.02 = 7,862.32 : x
  2. Step 2: Convert to fraction form
    11,640.34/16,045.02 = 7,862.32/x
  3. Step 3: Cross multiply
    11,640.34x = 16,045.02 × 7,862.32
  4. Step 4: Simplify right side
    11,640.34x = 126,151,081.65
  5. Step 5: Solve for x
    x = 126,151,081.65/11,640.34
  6. Step 6: Final answer
    x = 10,837.41

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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.