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Finding the Fourth Proportional to 10,643.42, 14,687.64 and 5,927.60

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Solution

The fourth proportional to 10,643.42, 14,687.64 and 5,927.60 is: 8,179.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,643.42 : 14,687.64 = 5,927.60 : x
  2. Step 2: Convert to fraction form
    10,643.42/14,687.64 = 5,927.60/x
  3. Step 3: Cross multiply
    10,643.42x = 14,687.64 × 5,927.60
  4. Step 4: Simplify right side
    10,643.42x = 87,062,454.86
  5. Step 5: Solve for x
    x = 87,062,454.86/10,643.42
  6. Step 6: Final answer
    x = 8,179.93

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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.