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Finding the Fourth Proportional to 10,518.26, 14,514.54 and 5,802.54

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Solution

The fourth proportional to 10,518.26, 14,514.54 and 5,802.54 is: 8,007.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,518.26 : 14,514.54 = 5,802.54 : x
  2. Step 2: Convert to fraction form
    10,518.26/14,514.54 = 5,802.54/x
  3. Step 3: Cross multiply
    10,518.26x = 14,514.54 × 5,802.54
  4. Step 4: Simplify right side
    10,518.26x = 84,221,198.93
  5. Step 5: Solve for x
    x = 84,221,198.93/10,518.26
  6. Step 6: Final answer
    x = 8,007.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.