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Finding the Fourth Proportional to 8,385.40, 12,575.67 and 3,190.06

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Solution

The fourth proportional to 8,385.40, 12,575.67 and 3,190.06 is: 4,784.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,385.40 : 12,575.67 = 3,190.06 : x
  2. Step 2: Convert to fraction form
    8,385.40/12,575.67 = 3,190.06/x
  3. Step 3: Cross multiply
    8,385.40x = 12,575.67 × 3,190.06
  4. Step 4: Simplify right side
    8,385.40x = 40,117,141.84
  5. Step 5: Solve for x
    x = 40,117,141.84/8,385.40
  6. Step 6: Final answer
    x = 4,784.17

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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.