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Finding the Fourth Proportional to 10,313.53, 15,470.89 and 2,917.37

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Solution

The fourth proportional to 10,313.53, 15,470.89 and 2,917.37 is: 4,376.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,313.53 : 15,470.89 = 2,917.37 : x
  2. Step 2: Convert to fraction form
    10,313.53/15,470.89 = 2,917.37/x
  3. Step 3: Cross multiply
    10,313.53x = 15,470.89 × 2,917.37
  4. Step 4: Simplify right side
    10,313.53x = 45,134,340.50
  5. Step 5: Solve for x
    x = 45,134,340.50/10,313.53
  6. Step 6: Final answer
    x = 4,376.23

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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.