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Finding the Fourth Proportional to 10,706.85, 16,064.89 and 4,468.09

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Solution

The fourth proportional to 10,706.85, 16,064.89 and 4,468.09 is: 6,704.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,706.85 : 16,064.89 = 4,468.09 : x
  2. Step 2: Convert to fraction form
    10,706.85/16,064.89 = 4,468.09/x
  3. Step 3: Cross multiply
    10,706.85x = 16,064.89 × 4,468.09
  4. Step 4: Simplify right side
    10,706.85x = 71,779,374.36
  5. Step 5: Solve for x
    x = 71,779,374.36/10,706.85
  6. Step 6: Final answer
    x = 6,704.06

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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.