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Finding the Fourth Proportional to 8,315.42, 11,474.99 and 4,956.50

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Solution

The fourth proportional to 8,315.42, 11,474.99 and 4,956.50 is: 6,839.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,315.42 : 11,474.99 = 4,956.50 : x
  2. Step 2: Convert to fraction form
    8,315.42/11,474.99 = 4,956.50/x
  3. Step 3: Cross multiply
    8,315.42x = 11,474.99 × 4,956.50
  4. Step 4: Simplify right side
    8,315.42x = 56,875,787.94
  5. Step 5: Solve for x
    x = 56,875,787.94/8,315.42
  6. Step 6: Final answer
    x = 6,839.80

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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.