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Finding the Fourth Proportional to 10,706.58, 16,064.46 and 4,137.38

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Solution

The fourth proportional to 10,706.58, 16,064.46 and 4,137.38 is: 6,207.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,706.58 : 16,064.46 = 4,137.38 : x
  2. Step 2: Convert to fraction form
    10,706.58/16,064.46 = 4,137.38/x
  3. Step 3: Cross multiply
    10,706.58x = 16,064.46 × 4,137.38
  4. Step 4: Simplify right side
    10,706.58x = 66,464,775.51
  5. Step 5: Solve for x
    x = 66,464,775.51/10,706.58
  6. Step 6: Final answer
    x = 6,207.84

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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.