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Finding the Fourth Proportional to 8,038.63, 12,056.19 and 3,106.54

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Solution

The fourth proportional to 8,038.63, 12,056.19 and 3,106.54 is: 4,659.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,038.63 : 12,056.19 = 3,106.54 : x
  2. Step 2: Convert to fraction form
    8,038.63/12,056.19 = 3,106.54/x
  3. Step 3: Cross multiply
    8,038.63x = 12,056.19 × 3,106.54
  4. Step 4: Simplify right side
    8,038.63x = 37,453,036.48
  5. Step 5: Solve for x
    x = 37,453,036.48/8,038.63
  6. Step 6: Final answer
    x = 4,659.13

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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.