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Finding the Fourth Proportional to 7,706.90, 11,562.36 and 2,160.26

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Solution

The fourth proportional to 7,706.90, 11,562.36 and 2,160.26 is: 3,240.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,706.90 : 11,562.36 = 2,160.26 : x
  2. Step 2: Convert to fraction form
    7,706.90/11,562.36 = 2,160.26/x
  3. Step 3: Cross multiply
    7,706.90x = 11,562.36 × 2,160.26
  4. Step 4: Simplify right side
    7,706.90x = 24,977,703.81
  5. Step 5: Solve for x
    x = 24,977,703.81/7,706.90
  6. Step 6: Final answer
    x = 3,240.95

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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.