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Finding the Fourth Proportional to 11,328.80, 15,634.07 and 6,853.37

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Solution

The fourth proportional to 11,328.80, 15,634.07 and 6,853.37 is: 9,457.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,328.80 : 15,634.07 = 6,853.37 : x
  2. Step 2: Convert to fraction form
    11,328.80/15,634.07 = 6,853.37/x
  3. Step 3: Cross multiply
    11,328.80x = 15,634.07 × 6,853.37
  4. Step 4: Simplify right side
    11,328.80x = 107,145,953.88
  5. Step 5: Solve for x
    x = 107,145,953.88/11,328.80
  6. Step 6: Final answer
    x = 9,457.84

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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.