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Finding the Fourth Proportional to 10,461.88, 15,677.70 and 5,835.16

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Solution

The fourth proportional to 10,461.88, 15,677.70 and 5,835.16 is: 8,744.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,461.88 : 15,677.70 = 5,835.16 : x
  2. Step 2: Convert to fraction form
    10,461.88/15,677.70 = 5,835.16/x
  3. Step 3: Cross multiply
    10,461.88x = 15,677.70 × 5,835.16
  4. Step 4: Simplify right side
    10,461.88x = 91,481,887.93
  5. Step 5: Solve for x
    x = 91,481,887.93/10,461.88
  6. Step 6: Final answer
    x = 8,744.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.