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Finding the Fourth Proportional to 10,314.67, 15,474.80 and 4,763.47

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Solution

The fourth proportional to 10,314.67, 15,474.80 and 4,763.47 is: 7,146.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,314.67 : 15,474.80 = 4,763.47 : x
  2. Step 2: Convert to fraction form
    10,314.67/15,474.80 = 4,763.47/x
  3. Step 3: Cross multiply
    10,314.67x = 15,474.80 × 4,763.47
  4. Step 4: Simplify right side
    10,314.67x = 73,713,745.56
  5. Step 5: Solve for x
    x = 73,713,745.56/10,314.67
  6. Step 6: Final answer
    x = 7,146.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.