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Finding the Fourth Proportional to 10,714.70, 16,074.45 and 4,140.30

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Solution

The fourth proportional to 10,714.70, 16,074.45 and 4,140.30 is: 6,211.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,714.70 : 16,074.45 = 4,140.30 : x
  2. Step 2: Convert to fraction form
    10,714.70/16,074.45 = 4,140.30/x
  3. Step 3: Cross multiply
    10,714.70x = 16,074.45 × 4,140.30
  4. Step 4: Simplify right side
    10,714.70x = 66,553,045.34
  5. Step 5: Solve for x
    x = 66,553,045.34/10,714.70
  6. Step 6: Final answer
    x = 6,211.38

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