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Finding the Fourth Proportional to 11,722.98, 17,577.54 and 4,706.31

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Solution

The fourth proportional to 11,722.98, 17,577.54 and 4,706.31 is: 7,056.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,722.98 : 17,577.54 = 4,706.31 : x
  2. Step 2: Convert to fraction form
    11,722.98/17,577.54 = 4,706.31/x
  3. Step 3: Cross multiply
    11,722.98x = 17,577.54 × 4,706.31
  4. Step 4: Simplify right side
    11,722.98x = 82,725,352.28
  5. Step 5: Solve for x
    x = 82,725,352.28/11,722.98
  6. Step 6: Final answer
    x = 7,056.68

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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.