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Finding the Fourth Proportional to 10,523.46, 14,519.75 and 6,048.48

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Solution

The fourth proportional to 10,523.46, 14,519.75 and 6,048.48 is: 8,345.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,523.46 : 14,519.75 = 6,048.48 : x
  2. Step 2: Convert to fraction form
    10,523.46/14,519.75 = 6,048.48/x
  3. Step 3: Cross multiply
    10,523.46x = 14,519.75 × 6,048.48
  4. Step 4: Simplify right side
    10,523.46x = 87,822,387.24
  5. Step 5: Solve for x
    x = 87,822,387.24/10,523.46
  6. Step 6: Final answer
    x = 8,345.39

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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.