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Finding the Fourth Proportional to 10,324, 14,246.97 and 5,608.45

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Solution

The fourth proportional to 10,324, 14,246.97 and 5,608.45 is: 7,739.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,324 : 14,246.97 = 5,608.45 : x
  2. Step 2: Convert to fraction form
    10,324/14,246.97 = 5,608.45/x
  3. Step 3: Cross multiply
    10,324x = 14,246.97 × 5,608.45
  4. Step 4: Simplify right side
    10,324x = 79,903,418.90
  5. Step 5: Solve for x
    x = 79,903,418.90/10,324
  6. Step 6: Final answer
    x = 7,739.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.