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Finding the Fourth Proportional to 7,803.48, 11,704.76 and 2,256.70

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Solution

The fourth proportional to 7,803.48, 11,704.76 and 2,256.70 is: 3,384.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,803.48 : 11,704.76 = 2,256.70 : x
  2. Step 2: Convert to fraction form
    7,803.48/11,704.76 = 2,256.70/x
  3. Step 3: Cross multiply
    7,803.48x = 11,704.76 × 2,256.70
  4. Step 4: Simplify right side
    7,803.48x = 26,414,131.89
  5. Step 5: Solve for x
    x = 26,414,131.89/7,803.48
  6. Step 6: Final answer
    x = 3,384.92

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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.