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Finding the Fourth Proportional to 10,616.51, 14,640.54 and 7,029.83

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Solution

The fourth proportional to 10,616.51, 14,640.54 and 7,029.83 is: 9,694.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,616.51 : 14,640.54 = 7,029.83 : x
  2. Step 2: Convert to fraction form
    10,616.51/14,640.54 = 7,029.83/x
  3. Step 3: Cross multiply
    10,616.51x = 14,640.54 × 7,029.83
  4. Step 4: Simplify right side
    10,616.51x = 102,920,507.31
  5. Step 5: Solve for x
    x = 102,920,507.31/10,616.51
  6. Step 6: Final answer
    x = 9,694.38

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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.