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Finding the Fourth Proportional to 7,922.77, 11,880.51 and 4,460.02

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Solution

The fourth proportional to 7,922.77, 11,880.51 and 4,460.02 is: 6,687.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,922.77 : 11,880.51 = 4,460.02 : x
  2. Step 2: Convert to fraction form
    7,922.77/11,880.51 = 4,460.02/x
  3. Step 3: Cross multiply
    7,922.77x = 11,880.51 × 4,460.02
  4. Step 4: Simplify right side
    7,922.77x = 52,987,312.21
  5. Step 5: Solve for x
    x = 52,987,312.21/7,922.77
  6. Step 6: Final answer
    x = 6,687.98

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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.