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Finding the Fourth Proportional to 10,315.95, 15,462.89 and 4,762.83

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Solution

The fourth proportional to 10,315.95, 15,462.89 and 4,762.83 is: 7,139.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,315.95 : 15,462.89 = 4,762.83 : x
  2. Step 2: Convert to fraction form
    10,315.95/15,462.89 = 4,762.83/x
  3. Step 3: Cross multiply
    10,315.95x = 15,462.89 × 4,762.83
  4. Step 4: Simplify right side
    10,315.95x = 73,647,092.56
  5. Step 5: Solve for x
    x = 73,647,092.56/10,315.95
  6. Step 6: Final answer
    x = 7,139.15

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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.