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Finding the Fourth Proportional to 8,285.07, 12,414.84 and 3,840

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Solution

The fourth proportional to 8,285.07, 12,414.84 and 3,840 is: 5,754.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,285.07 : 12,414.84 = 3,840 : x
  2. Step 2: Convert to fraction form
    8,285.07/12,414.84 = 3,840/x
  3. Step 3: Cross multiply
    8,285.07x = 12,414.84 × 3,840
  4. Step 4: Simplify right side
    8,285.07x = 47,672,985.60
  5. Step 5: Solve for x
    x = 47,672,985.60/8,285.07
  6. Step 6: Final answer
    x = 5,754.08

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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.