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Finding the Fourth Proportional to 8,106.24, 12,158.98 and 8,018.40

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Solution

The fourth proportional to 8,106.24, 12,158.98 and 8,018.40 is: 12,027.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,106.24 : 12,158.98 = 8,018.40 : x
  2. Step 2: Convert to fraction form
    8,106.24/12,158.98 = 8,018.40/x
  3. Step 3: Cross multiply
    8,106.24x = 12,158.98 × 8,018.40
  4. Step 4: Simplify right side
    8,106.24x = 97,495,565.23
  5. Step 5: Solve for x
    x = 97,495,565.23/8,106.24
  6. Step 6: Final answer
    x = 12,027.22

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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.