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Finding the Fourth Proportional to 10,996.66, 16,496.91 and 4,840.50

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Solution

The fourth proportional to 10,996.66, 16,496.91 and 4,840.50 is: 7,261.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,996.66 : 16,496.91 = 4,840.50 : x
  2. Step 2: Convert to fraction form
    10,996.66/16,496.91 = 4,840.50/x
  3. Step 3: Cross multiply
    10,996.66x = 16,496.91 × 4,840.50
  4. Step 4: Simplify right side
    10,996.66x = 79,853,292.86
  5. Step 5: Solve for x
    x = 79,853,292.86/10,996.66
  6. Step 6: Final answer
    x = 7,261.60

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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.