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Finding the Fourth Proportional to 10,520.74, 14,518.71 and 5,805.34

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Solution

The fourth proportional to 10,520.74, 14,518.71 and 5,805.34 is: 8,011.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,520.74 : 14,518.71 = 5,805.34 : x
  2. Step 2: Convert to fraction form
    10,520.74/14,518.71 = 5,805.34/x
  3. Step 3: Cross multiply
    10,520.74x = 14,518.71 × 5,805.34
  4. Step 4: Simplify right side
    10,520.74x = 84,286,047.91
  5. Step 5: Solve for x
    x = 84,286,047.91/10,520.74
  6. Step 6: Final answer
    x = 8,011.42

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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.