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Finding the Fourth Proportional to 10,518.18, 14,514.99 and 5,802.36

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Solution

The fourth proportional to 10,518.18, 14,514.99 and 5,802.36 is: 8,007.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,518.18 : 14,514.99 = 5,802.36 : x
  2. Step 2: Convert to fraction form
    10,518.18/14,514.99 = 5,802.36/x
  3. Step 3: Cross multiply
    10,518.18x = 14,514.99 × 5,802.36
  4. Step 4: Simplify right side
    10,518.18x = 84,221,197.38
  5. Step 5: Solve for x
    x = 84,221,197.38/10,518.18
  6. Step 6: Final answer
    x = 8,007.20

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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.