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Finding the Fourth Proportional to 7,448, 10,278.24 and 4,136

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Solution

The fourth proportional to 7,448, 10,278.24 and 4,136 is: 5,707.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,448 : 10,278.24 = 4,136 : x
  2. Step 2: Convert to fraction form
    7,448/10,278.24 = 4,136/x
  3. Step 3: Cross multiply
    7,448x = 10,278.24 × 4,136
  4. Step 4: Simplify right side
    7,448x = 42,510,800.64
  5. Step 5: Solve for x
    x = 42,510,800.64/7,448
  6. Step 6: Final answer
    x = 5,707.68

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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.