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Finding the Fourth Proportional to 10,858.88, 14,986.24 and 6,144.08

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Solution

The fourth proportional to 10,858.88, 14,986.24 and 6,144.08 is: 8,479.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,858.88 : 14,986.24 = 6,144.08 : x
  2. Step 2: Convert to fraction form
    10,858.88/14,986.24 = 6,144.08/x
  3. Step 3: Cross multiply
    10,858.88x = 14,986.24 × 6,144.08
  4. Step 4: Simplify right side
    10,858.88x = 92,076,657.46
  5. Step 5: Solve for x
    x = 92,076,657.46/10,858.88
  6. Step 6: Final answer
    x = 8,479.39

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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.