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Finding the Fourth Proportional to 11,477.52, 15,839.12 and 6,442.82

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Solution

The fourth proportional to 11,477.52, 15,839.12 and 6,442.82 is: 8,891.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,477.52 : 15,839.12 = 6,442.82 : x
  2. Step 2: Convert to fraction form
    11,477.52/15,839.12 = 6,442.82/x
  3. Step 3: Cross multiply
    11,477.52x = 15,839.12 × 6,442.82
  4. Step 4: Simplify right side
    11,477.52x = 102,048,599.12
  5. Step 5: Solve for x
    x = 102,048,599.12/11,477.52
  6. Step 6: Final answer
    x = 8,891.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.