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Finding the Fourth Proportional to 11,706.12, 17,558.90 and 5,858.46

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Solution

The fourth proportional to 11,706.12, 17,558.90 and 5,858.46 is: 8,787.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,706.12 : 17,558.90 = 5,858.46 : x
  2. Step 2: Convert to fraction form
    11,706.12/17,558.90 = 5,858.46/x
  3. Step 3: Cross multiply
    11,706.12x = 17,558.90 × 5,858.46
  4. Step 4: Simplify right side
    11,706.12x = 102,868,113.29
  5. Step 5: Solve for x
    x = 102,868,113.29/11,706.12
  6. Step 6: Final answer
    x = 8,787.55

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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.