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Finding the Fourth Proportional to 10,028.80, 15,014.40 and 6,140.80

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Solution

The fourth proportional to 10,028.80, 15,014.40 and 6,140.80 is: 9,193.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,028.80 : 15,014.40 = 6,140.80 : x
  2. Step 2: Convert to fraction form
    10,028.80/15,014.40 = 6,140.80/x
  3. Step 3: Cross multiply
    10,028.80x = 15,014.40 × 6,140.80
  4. Step 4: Simplify right side
    10,028.80x = 92,200,427.52
  5. Step 5: Solve for x
    x = 92,200,427.52/10,028.80
  6. Step 6: Final answer
    x = 9,193.57

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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.