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Finding the Fourth Proportional to 10,714.10, 16,068.02 and 4,138.74

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Solution

The fourth proportional to 10,714.10, 16,068.02 and 4,138.74 is: 6,206.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,714.10 : 16,068.02 = 4,138.74 : x
  2. Step 2: Convert to fraction form
    10,714.10/16,068.02 = 4,138.74/x
  3. Step 3: Cross multiply
    10,714.10x = 16,068.02 × 4,138.74
  4. Step 4: Simplify right side
    10,714.10x = 66,501,336.40
  5. Step 5: Solve for x
    x = 66,501,336.40/10,714.10
  6. Step 6: Final answer
    x = 6,206.90

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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.