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Finding the Fourth Proportional to 7,096.27, 10,646.83 and 2,714.98

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Solution

The fourth proportional to 7,096.27, 10,646.83 and 2,714.98 is: 4,073.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,096.27 : 10,646.83 = 2,714.98 : x
  2. Step 2: Convert to fraction form
    7,096.27/10,646.83 = 2,714.98/x
  3. Step 3: Cross multiply
    7,096.27x = 10,646.83 × 2,714.98
  4. Step 4: Simplify right side
    7,096.27x = 28,905,930.51
  5. Step 5: Solve for x
    x = 28,905,930.51/7,096.27
  6. Step 6: Final answer
    x = 4,073.40

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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.