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Finding the Fourth Proportional to 10,048.56, 15,075.28 and 4,505.76

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Solution

The fourth proportional to 10,048.56, 15,075.28 and 4,505.76 is: 6,759.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,048.56 : 15,075.28 = 4,505.76 : x
  2. Step 2: Convert to fraction form
    10,048.56/15,075.28 = 4,505.76/x
  3. Step 3: Cross multiply
    10,048.56x = 15,075.28 × 4,505.76
  4. Step 4: Simplify right side
    10,048.56x = 67,925,593.61
  5. Step 5: Solve for x
    x = 67,925,593.61/10,048.56
  6. Step 6: Final answer
    x = 6,759.73

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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.