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Finding the Fourth Proportional to 11,640.32, 16,062.42 and 6,602.94

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Solution

The fourth proportional to 11,640.32, 16,062.42 and 6,602.94 is: 9,111.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,640.32 : 16,062.42 = 6,602.94 : x
  2. Step 2: Convert to fraction form
    11,640.32/16,062.42 = 6,602.94/x
  3. Step 3: Cross multiply
    11,640.32x = 16,062.42 × 6,602.94
  4. Step 4: Simplify right side
    11,640.32x = 106,059,195.51
  5. Step 5: Solve for x
    x = 106,059,195.51/11,640.32
  6. Step 6: Final answer
    x = 9,111.36

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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.