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Finding the Fourth Proportional to 8,124.60, 12,186.90 and 8,038.20

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Solution

The fourth proportional to 8,124.60, 12,186.90 and 8,038.20 is: 12,057.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,124.60 : 12,186.90 = 8,038.20 : x
  2. Step 2: Convert to fraction form
    8,124.60/12,186.90 = 8,038.20/x
  3. Step 3: Cross multiply
    8,124.60x = 12,186.90 × 8,038.20
  4. Step 4: Simplify right side
    8,124.60x = 97,960,739.58
  5. Step 5: Solve for x
    x = 97,960,739.58/8,124.60
  6. Step 6: Final answer
    x = 12,057.30

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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.