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Finding the Fourth Proportional to 10,714.60, 16,042.74 and 5,509.54

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Solution

The fourth proportional to 10,714.60, 16,042.74 and 5,509.54 is: 8,249.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,714.60 : 16,042.74 = 5,509.54 : x
  2. Step 2: Convert to fraction form
    10,714.60/16,042.74 = 5,509.54/x
  3. Step 3: Cross multiply
    10,714.60x = 16,042.74 × 5,509.54
  4. Step 4: Simplify right side
    10,714.60x = 88,388,117.74
  5. Step 5: Solve for x
    x = 88,388,117.74/10,714.60
  6. Step 6: Final answer
    x = 8,249.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.