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Finding the Fourth Proportional to 6,706.98, 10,051.11 and 5,714.64

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Solution

The fourth proportional to 6,706.98, 10,051.11 and 5,714.64 is: 8,563.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,706.98 : 10,051.11 = 5,714.64 : x
  2. Step 2: Convert to fraction form
    6,706.98/10,051.11 = 5,714.64/x
  3. Step 3: Cross multiply
    6,706.98x = 10,051.11 × 5,714.64
  4. Step 4: Simplify right side
    6,706.98x = 57,438,475.25
  5. Step 5: Solve for x
    x = 57,438,475.25/6,706.98
  6. Step 6: Final answer
    x = 8,563.98

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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.