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Finding the Fourth Proportional to 8,130.99, 12,188.54 and 3,970.83

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Solution

The fourth proportional to 8,130.99, 12,188.54 and 3,970.83 is: 5,952.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,130.99 : 12,188.54 = 3,970.83 : x
  2. Step 2: Convert to fraction form
    8,130.99/12,188.54 = 3,970.83/x
  3. Step 3: Cross multiply
    8,130.99x = 12,188.54 × 3,970.83
  4. Step 4: Simplify right side
    8,130.99x = 48,398,600.43
  5. Step 5: Solve for x
    x = 48,398,600.43/8,130.99
  6. Step 6: Final answer
    x = 5,952.36

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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.