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Finding the Fourth Proportional to 10,714.07, 16,070.20 and 3,693.40

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Solution

The fourth proportional to 10,714.07, 16,070.20 and 3,693.40 is: 5,539.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,714.07 : 16,070.20 = 3,693.40 : x
  2. Step 2: Convert to fraction form
    10,714.07/16,070.20 = 3,693.40/x
  3. Step 3: Cross multiply
    10,714.07x = 16,070.20 × 3,693.40
  4. Step 4: Simplify right side
    10,714.07x = 59,353,627.27
  5. Step 5: Solve for x
    x = 59,353,627.27/10,714.07
  6. Step 6: Final answer
    x = 5,539.78

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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.