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Finding the Fourth Proportional to 10,714.70, 16,069.53 and 2,921.66

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Solution

The fourth proportional to 10,714.70, 16,069.53 and 2,921.66 is: 4,381.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,714.70 : 16,069.53 = 2,921.66 : x
  2. Step 2: Convert to fraction form
    10,714.70/16,069.53 = 2,921.66/x
  3. Step 3: Cross multiply
    10,714.70x = 16,069.53 × 2,921.66
  4. Step 4: Simplify right side
    10,714.70x = 46,949,703.02
  5. Step 5: Solve for x
    x = 46,949,703.02/10,714.70
  6. Step 6: Final answer
    x = 4,381.80

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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.