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Finding the Fourth Proportional to 10,234.56, 15,380.72 and 6,075.28

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Solution

The fourth proportional to 10,234.56, 15,380.72 and 6,075.28 is: 9,130.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,234.56 : 15,380.72 = 6,075.28 : x
  2. Step 2: Convert to fraction form
    10,234.56/15,380.72 = 6,075.28/x
  3. Step 3: Cross multiply
    10,234.56x = 15,380.72 × 6,075.28
  4. Step 4: Simplify right side
    10,234.56x = 93,442,180.60
  5. Step 5: Solve for x
    x = 93,442,180.60/10,234.56
  6. Step 6: Final answer
    x = 9,130.06

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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.