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Finding the Fourth Proportional to 8,495.66, 12,728.82 and 4,602.80

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Solution

The fourth proportional to 8,495.66, 12,728.82 and 4,602.80 is: 6,896.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,495.66 : 12,728.82 = 4,602.80 : x
  2. Step 2: Convert to fraction form
    8,495.66/12,728.82 = 4,602.80/x
  3. Step 3: Cross multiply
    8,495.66x = 12,728.82 × 4,602.80
  4. Step 4: Simplify right side
    8,495.66x = 58,588,212.70
  5. Step 5: Solve for x
    x = 58,588,212.70/8,495.66
  6. Step 6: Final answer
    x = 6,896.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.