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Finding the Fourth Proportional to 10,617.54, 14,653.38 and 6,141.24

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Solution

The fourth proportional to 10,617.54, 14,653.38 and 6,141.24 is: 8,475.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,617.54 : 14,653.38 = 6,141.24 : x
  2. Step 2: Convert to fraction form
    10,617.54/14,653.38 = 6,141.24/x
  3. Step 3: Cross multiply
    10,617.54x = 14,653.38 × 6,141.24
  4. Step 4: Simplify right side
    10,617.54x = 89,989,923.39
  5. Step 5: Solve for x
    x = 89,989,923.39/10,617.54
  6. Step 6: Final answer
    x = 8,475.59

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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.