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Finding the Fourth Proportional to 8,656.88, 11,946.50 and 4,677.99

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Solution

The fourth proportional to 8,656.88, 11,946.50 and 4,677.99 is: 6,455.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,656.88 : 11,946.50 = 4,677.99 : x
  2. Step 2: Convert to fraction form
    8,656.88/11,946.50 = 4,677.99/x
  3. Step 3: Cross multiply
    8,656.88x = 11,946.50 × 4,677.99
  4. Step 4: Simplify right side
    8,656.88x = 55,885,584.15
  5. Step 5: Solve for x
    x = 55,885,584.15/8,656.88
  6. Step 6: Final answer
    x = 6,455.63

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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.