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Finding the Fourth Proportional to 7,477.82, 10,317.17 and 4,492.56

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Solution

The fourth proportional to 7,477.82, 10,317.17 and 4,492.56 is: 6,198.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,477.82 : 10,317.17 = 4,492.56 : x
  2. Step 2: Convert to fraction form
    7,477.82/10,317.17 = 4,492.56/x
  3. Step 3: Cross multiply
    7,477.82x = 10,317.17 × 4,492.56
  4. Step 4: Simplify right side
    7,477.82x = 46,350,555.18
  5. Step 5: Solve for x
    x = 46,350,555.18/7,477.82
  6. Step 6: Final answer
    x = 6,198.41

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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.