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Finding the Fourth Proportional to 7,130.28, 10,692.71 and 2,854.69

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Solution

The fourth proportional to 7,130.28, 10,692.71 and 2,854.69 is: 4,280.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,130.28 : 10,692.71 = 2,854.69 : x
  2. Step 2: Convert to fraction form
    7,130.28/10,692.71 = 2,854.69/x
  3. Step 3: Cross multiply
    7,130.28x = 10,692.71 × 2,854.69
  4. Step 4: Simplify right side
    7,130.28x = 30,524,402.16
  5. Step 5: Solve for x
    x = 30,524,402.16/7,130.28
  6. Step 6: Final answer
    x = 4,280.96

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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.