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Finding the Fourth Proportional to 6,706.40, 10,059.60 and 5,649.35

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Solution

The fourth proportional to 6,706.40, 10,059.60 and 5,649.35 is: 8,474.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,706.40 : 10,059.60 = 5,649.35 : x
  2. Step 2: Convert to fraction form
    6,706.40/10,059.60 = 5,649.35/x
  3. Step 3: Cross multiply
    6,706.40x = 10,059.60 × 5,649.35
  4. Step 4: Simplify right side
    6,706.40x = 56,830,201.26
  5. Step 5: Solve for x
    x = 56,830,201.26/6,706.40
  6. Step 6: Final answer
    x = 8,474.03

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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.