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Finding the Fourth Proportional to 7,130.38, 10,692.84 and 2,854.80

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Solution

The fourth proportional to 7,130.38, 10,692.84 and 2,854.80 is: 4,281.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,130.38 : 10,692.84 = 2,854.80 : x
  2. Step 2: Convert to fraction form
    7,130.38/10,692.84 = 2,854.80/x
  3. Step 3: Cross multiply
    7,130.38x = 10,692.84 × 2,854.80
  4. Step 4: Simplify right side
    7,130.38x = 30,525,919.63
  5. Step 5: Solve for x
    x = 30,525,919.63/7,130.38
  6. Step 6: Final answer
    x = 4,281.11

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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.