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Finding the Fourth Proportional to 10,714.20, 16,074.54 and 4,866

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Solution

The fourth proportional to 10,714.20, 16,074.54 and 4,866 is: 7,300.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,714.20 : 16,074.54 = 4,866 : x
  2. Step 2: Convert to fraction form
    10,714.20/16,074.54 = 4,866/x
  3. Step 3: Cross multiply
    10,714.20x = 16,074.54 × 4,866
  4. Step 4: Simplify right side
    10,714.20x = 78,218,711.64
  5. Step 5: Solve for x
    x = 78,218,711.64/10,714.20
  6. Step 6: Final answer
    x = 7,300.47

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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.