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Finding the Fourth Proportional to 11,477.99, 15,839.90 and 6,442.58

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Solution

The fourth proportional to 11,477.99, 15,839.90 and 6,442.58 is: 8,890.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,477.99 : 15,839.90 = 6,442.58 : x
  2. Step 2: Convert to fraction form
    11,477.99/15,839.90 = 6,442.58/x
  3. Step 3: Cross multiply
    11,477.99x = 15,839.90 × 6,442.58
  4. Step 4: Simplify right side
    11,477.99x = 102,049,711.53
  5. Step 5: Solve for x
    x = 102,049,711.53/11,477.99
  6. Step 6: Final answer
    x = 8,890.91

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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.