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Finding the Fourth Proportional to 8,696.50, 12,000.83 and 4,717.46

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Solution

The fourth proportional to 8,696.50, 12,000.83 and 4,717.46 is: 6,509.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,696.50 : 12,000.83 = 4,717.46 : x
  2. Step 2: Convert to fraction form
    8,696.50/12,000.83 = 4,717.46/x
  3. Step 3: Cross multiply
    8,696.50x = 12,000.83 × 4,717.46
  4. Step 4: Simplify right side
    8,696.50x = 56,613,441.91
  5. Step 5: Solve for x
    x = 56,613,441.91/8,696.50
  6. Step 6: Final answer
    x = 6,509.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.