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Finding the Fourth Proportional to 7,114.69, 10,667.44 and 2,957.55

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Solution

The fourth proportional to 7,114.69, 10,667.44 and 2,957.55 is: 4,434.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,114.69 : 10,667.44 = 2,957.55 : x
  2. Step 2: Convert to fraction form
    7,114.69/10,667.44 = 2,957.55/x
  3. Step 3: Cross multiply
    7,114.69x = 10,667.44 × 2,957.55
  4. Step 4: Simplify right side
    7,114.69x = 31,549,487.17
  5. Step 5: Solve for x
    x = 31,549,487.17/7,114.69
  6. Step 6: Final answer
    x = 4,434.41

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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.