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Finding the Fourth Proportional to 7,098.41, 10,646.24 and 2,714.84

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Solution

The fourth proportional to 7,098.41, 10,646.24 and 2,714.84 is: 4,071.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,098.41 : 10,646.24 = 2,714.84 : x
  2. Step 2: Convert to fraction form
    7,098.41/10,646.24 = 2,714.84/x
  3. Step 3: Cross multiply
    7,098.41x = 10,646.24 × 2,714.84
  4. Step 4: Simplify right side
    7,098.41x = 28,902,771.40
  5. Step 5: Solve for x
    x = 28,902,771.40/7,098.41
  6. Step 6: Final answer
    x = 4,071.73

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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.