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Finding the Fourth Proportional to 8,130.96, 12,184.98 and 3,852.14

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Solution

The fourth proportional to 8,130.96, 12,184.98 and 3,852.14 is: 5,772.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,130.96 : 12,184.98 = 3,852.14 : x
  2. Step 2: Convert to fraction form
    8,130.96/12,184.98 = 3,852.14/x
  3. Step 3: Cross multiply
    8,130.96x = 12,184.98 × 3,852.14
  4. Step 4: Simplify right side
    8,130.96x = 46,938,248.86
  5. Step 5: Solve for x
    x = 46,938,248.86/8,130.96
  6. Step 6: Final answer
    x = 5,772.78

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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.