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Finding the Fourth Proportional to 11,778.76, 16,261.96 and 8,946.28

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Solution

The fourth proportional to 11,778.76, 16,261.96 and 8,946.28 is: 12,351.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,778.76 : 16,261.96 = 8,946.28 : x
  2. Step 2: Convert to fraction form
    11,778.76/16,261.96 = 8,946.28/x
  3. Step 3: Cross multiply
    11,778.76x = 16,261.96 × 8,946.28
  4. Step 4: Simplify right side
    11,778.76x = 145,484,047.51
  5. Step 5: Solve for x
    x = 145,484,047.51/11,778.76
  6. Step 6: Final answer
    x = 12,351.39

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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.