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Finding the Fourth Proportional to 8,038.63, 12,061.79 and 3,106.95

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Solution

The fourth proportional to 8,038.63, 12,061.79 and 3,106.95 is: 4,661.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,038.63 : 12,061.79 = 3,106.95 : x
  2. Step 2: Convert to fraction form
    8,038.63/12,061.79 = 3,106.95/x
  3. Step 3: Cross multiply
    8,038.63x = 12,061.79 × 3,106.95
  4. Step 4: Simplify right side
    8,038.63x = 37,475,378.44
  5. Step 5: Solve for x
    x = 37,475,378.44/8,038.63
  6. Step 6: Final answer
    x = 4,661.91

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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.