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Finding the Fourth Proportional to 10,714.90, 16,072.36 and 4,873.18

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Solution

The fourth proportional to 10,714.90, 16,072.36 and 4,873.18 is: 7,309.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,714.90 : 16,072.36 = 4,873.18 : x
  2. Step 2: Convert to fraction form
    10,714.90/16,072.36 = 4,873.18/x
  3. Step 3: Cross multiply
    10,714.90x = 16,072.36 × 4,873.18
  4. Step 4: Simplify right side
    10,714.90x = 78,323,503.30
  5. Step 5: Solve for x
    x = 78,323,503.30/10,714.90
  6. Step 6: Final answer
    x = 7,309.77

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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.