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Finding the Fourth Proportional to 10,284, 15,424.38 and 4,737.12

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Solution

The fourth proportional to 10,284, 15,424.38 and 4,737.12 is: 7,104.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,284 : 15,424.38 = 4,737.12 : x
  2. Step 2: Convert to fraction form
    10,284/15,424.38 = 4,737.12/x
  3. Step 3: Cross multiply
    10,284x = 15,424.38 × 4,737.12
  4. Step 4: Simplify right side
    10,284x = 73,067,138.99
  5. Step 5: Solve for x
    x = 73,067,138.99/10,284
  6. Step 6: Final answer
    x = 7,104.93

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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.