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Finding the Fourth Proportional to 10,315.14, 15,470.22 and 4,763.15

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Solution

The fourth proportional to 10,315.14, 15,470.22 and 4,763.15 is: 7,143.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,315.14 : 15,470.22 = 4,763.15 : x
  2. Step 2: Convert to fraction form
    10,315.14/15,470.22 = 4,763.15/x
  3. Step 3: Cross multiply
    10,315.14x = 15,470.22 × 4,763.15
  4. Step 4: Simplify right side
    10,315.14x = 73,686,912.95
  5. Step 5: Solve for x
    x = 73,686,912.95/10,315.14
  6. Step 6: Final answer
    x = 7,143.57

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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.