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Finding the Fourth Proportional to 7,704.52, 10,636.80 and 5,056.56

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Solution

The fourth proportional to 7,704.52, 10,636.80 and 5,056.56 is: 6,981.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,704.52 : 10,636.80 = 5,056.56 : x
  2. Step 2: Convert to fraction form
    7,704.52/10,636.80 = 5,056.56/x
  3. Step 3: Cross multiply
    7,704.52x = 10,636.80 × 5,056.56
  4. Step 4: Simplify right side
    7,704.52x = 53,785,617.41
  5. Step 5: Solve for x
    x = 53,785,617.41/7,704.52
  6. Step 6: Final answer
    x = 6,981.05

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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.