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Finding the Fourth Proportional to 7,033.80, 10,543.14 and 3,135

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Solution

The fourth proportional to 7,033.80, 10,543.14 and 3,135 is: 4,699.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,033.80 : 10,543.14 = 3,135 : x
  2. Step 2: Convert to fraction form
    7,033.80/10,543.14 = 3,135/x
  3. Step 3: Cross multiply
    7,033.80x = 10,543.14 × 3,135
  4. Step 4: Simplify right side
    7,033.80x = 33,052,743.90
  5. Step 5: Solve for x
    x = 33,052,743.90/7,033.80
  6. Step 6: Final answer
    x = 4,699.13

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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.