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Finding the Fourth Proportional to 8,073.10, 11,140.74 and 4,929.29

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Solution

The fourth proportional to 8,073.10, 11,140.74 and 4,929.29 is: 6,802.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,073.10 : 11,140.74 = 4,929.29 : x
  2. Step 2: Convert to fraction form
    8,073.10/11,140.74 = 4,929.29/x
  3. Step 3: Cross multiply
    8,073.10x = 11,140.74 × 4,929.29
  4. Step 4: Simplify right side
    8,073.10x = 54,915,857.92
  5. Step 5: Solve for x
    x = 54,915,857.92/8,073.10
  6. Step 6: Final answer
    x = 6,802.33

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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.