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Finding the Fourth Proportional to 10,518, 14,514.87 and 5,802.24

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Solution

The fourth proportional to 10,518, 14,514.87 and 5,802.24 is: 8,007.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,518 : 14,514.87 = 5,802.24 : x
  2. Step 2: Convert to fraction form
    10,518/14,514.87 = 5,802.24/x
  3. Step 3: Cross multiply
    10,518x = 14,514.87 × 5,802.24
  4. Step 4: Simplify right side
    10,518x = 84,218,759.31
  5. Step 5: Solve for x
    x = 84,218,759.31/10,518
  6. Step 6: Final answer
    x = 8,007.11

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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.