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Finding the Fourth Proportional to 10,518.10, 14,514.31 and 5,802.41

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Solution

The fourth proportional to 10,518.10, 14,514.31 and 5,802.41 is: 8,006.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,518.10 : 14,514.31 = 5,802.41 : x
  2. Step 2: Convert to fraction form
    10,518.10/14,514.31 = 5,802.41/x
  3. Step 3: Cross multiply
    10,518.10x = 14,514.31 × 5,802.41
  4. Step 4: Simplify right side
    10,518.10x = 84,217,977.49
  5. Step 5: Solve for x
    x = 84,217,977.49/10,518.10
  6. Step 6: Final answer
    x = 8,006.96

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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.