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Finding the Fourth Proportional to 10,477.74, 15,716.42 and 4,237.68

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Solution

The fourth proportional to 10,477.74, 15,716.42 and 4,237.68 is: 6,356.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,477.74 : 15,716.42 = 4,237.68 : x
  2. Step 2: Convert to fraction form
    10,477.74/15,716.42 = 4,237.68/x
  3. Step 3: Cross multiply
    10,477.74x = 15,716.42 × 4,237.68
  4. Step 4: Simplify right side
    10,477.74x = 66,601,137.52
  5. Step 5: Solve for x
    x = 66,601,137.52/10,477.74
  6. Step 6: Final answer
    x = 6,356.44

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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.