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Finding the Fourth Proportional to 10,847.34, 16,271.02 and 3,056.16

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Solution

The fourth proportional to 10,847.34, 16,271.02 and 3,056.16 is: 4,584.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,847.34 : 16,271.02 = 3,056.16 : x
  2. Step 2: Convert to fraction form
    10,847.34/16,271.02 = 3,056.16/x
  3. Step 3: Cross multiply
    10,847.34x = 16,271.02 × 3,056.16
  4. Step 4: Simplify right side
    10,847.34x = 49,726,840.48
  5. Step 5: Solve for x
    x = 49,726,840.48/10,847.34
  6. Step 6: Final answer
    x = 4,584.24

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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.