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Finding the Fourth Proportional to 7,880.32, 11,822.25 and 2,950.02

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Solution

The fourth proportional to 7,880.32, 11,822.25 and 2,950.02 is: 4,425.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,880.32 : 11,822.25 = 2,950.02 : x
  2. Step 2: Convert to fraction form
    7,880.32/11,822.25 = 2,950.02/x
  3. Step 3: Cross multiply
    7,880.32x = 11,822.25 × 2,950.02
  4. Step 4: Simplify right side
    7,880.32x = 34,875,885.01
  5. Step 5: Solve for x
    x = 34,875,885.01/7,880.32
  6. Step 6: Final answer
    x = 4,425.69

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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.