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Finding the Fourth Proportional to 10,846.71, 14,968.80 and 6,131.30

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Solution

The fourth proportional to 10,846.71, 14,968.80 and 6,131.30 is: 8,461.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,846.71 : 14,968.80 = 6,131.30 : x
  2. Step 2: Convert to fraction form
    10,846.71/14,968.80 = 6,131.30/x
  3. Step 3: Cross multiply
    10,846.71x = 14,968.80 × 6,131.30
  4. Step 4: Simplify right side
    10,846.71x = 91,778,128.60
  5. Step 5: Solve for x
    x = 91,778,128.60/10,846.71
  6. Step 6: Final answer
    x = 8,461.38

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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.