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Finding the Fourth Proportional to 7,812.88, 11,722.14 and 3,431.58

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Solution

The fourth proportional to 7,812.88, 11,722.14 and 3,431.58 is: 5,148.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,812.88 : 11,722.14 = 3,431.58 : x
  2. Step 2: Convert to fraction form
    7,812.88/11,722.14 = 3,431.58/x
  3. Step 3: Cross multiply
    7,812.88x = 11,722.14 × 3,431.58
  4. Step 4: Simplify right side
    7,812.88x = 40,225,461.18
  5. Step 5: Solve for x
    x = 40,225,461.18/7,812.88
  6. Step 6: Final answer
    x = 5,148.61

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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.