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Finding the Fourth Proportional to 7,124.96, 10,689.60 and 3,426.14

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Solution

The fourth proportional to 7,124.96, 10,689.60 and 3,426.14 is: 5,140.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,124.96 : 10,689.60 = 3,426.14 : x
  2. Step 2: Convert to fraction form
    7,124.96/10,689.60 = 3,426.14/x
  3. Step 3: Cross multiply
    7,124.96x = 10,689.60 × 3,426.14
  4. Step 4: Simplify right side
    7,124.96x = 36,624,066.14
  5. Step 5: Solve for x
    x = 36,624,066.14/7,124.96
  6. Step 6: Final answer
    x = 5,140.25

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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.