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Finding the Fourth Proportional to 8,461, 11,674.92 and 5,101.48

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Solution

The fourth proportional to 8,461, 11,674.92 and 5,101.48 is: 7,039.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,461 : 11,674.92 = 5,101.48 : x
  2. Step 2: Convert to fraction form
    8,461/11,674.92 = 5,101.48/x
  3. Step 3: Cross multiply
    8,461x = 11,674.92 × 5,101.48
  4. Step 4: Simplify right side
    8,461x = 59,559,370.88
  5. Step 5: Solve for x
    x = 59,559,370.88/8,461
  6. Step 6: Final answer
    x = 7,039.28

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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.