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Finding the Fourth Proportional to 7,148.68, 10,727.23 and 2,988.36

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Solution

The fourth proportional to 7,148.68, 10,727.23 and 2,988.36 is: 4,484.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,148.68 : 10,727.23 = 2,988.36 : x
  2. Step 2: Convert to fraction form
    7,148.68/10,727.23 = 2,988.36/x
  3. Step 3: Cross multiply
    7,148.68x = 10,727.23 × 2,988.36
  4. Step 4: Simplify right side
    7,148.68x = 32,056,810.10
  5. Step 5: Solve for x
    x = 32,056,810.10/7,148.68
  6. Step 6: Final answer
    x = 4,484.30

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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.