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Finding the Fourth Proportional to 8,004.66, 12,006.99 and 4,106.58

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Solution

The fourth proportional to 8,004.66, 12,006.99 and 4,106.58 is: 6,159.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,004.66 : 12,006.99 = 4,106.58 : x
  2. Step 2: Convert to fraction form
    8,004.66/12,006.99 = 4,106.58/x
  3. Step 3: Cross multiply
    8,004.66x = 12,006.99 × 4,106.58
  4. Step 4: Simplify right side
    8,004.66x = 49,307,664.99
  5. Step 5: Solve for x
    x = 49,307,664.99/8,004.66
  6. Step 6: Final answer
    x = 6,159.87

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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.