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Finding the Fourth Proportional to 7,822.76, 11,740.98 and 4,531.32

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Solution

The fourth proportional to 7,822.76, 11,740.98 and 4,531.32 is: 6,800.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,822.76 : 11,740.98 = 4,531.32 : x
  2. Step 2: Convert to fraction form
    7,822.76/11,740.98 = 4,531.32/x
  3. Step 3: Cross multiply
    7,822.76x = 11,740.98 × 4,531.32
  4. Step 4: Simplify right side
    7,822.76x = 53,202,137.49
  5. Step 5: Solve for x
    x = 53,202,137.49/7,822.76
  6. Step 6: Final answer
    x = 6,800.95

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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.