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Finding the Fourth Proportional to 6,475.28, 8,940.91 and 5,056.50

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Solution

The fourth proportional to 6,475.28, 8,940.91 and 5,056.50 is: 6,981.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,475.28 : 8,940.91 = 5,056.50 : x
  2. Step 2: Convert to fraction form
    6,475.28/8,940.91 = 5,056.50/x
  3. Step 3: Cross multiply
    6,475.28x = 8,940.91 × 5,056.50
  4. Step 4: Simplify right side
    6,475.28x = 45,209,711.42
  5. Step 5: Solve for x
    x = 45,209,711.42/6,475.28
  6. Step 6: Final answer
    x = 6,981.89

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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.