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Finding the Fourth Proportional to 7,803.48, 10,772.42 and 4,615.77

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Solution

The fourth proportional to 7,803.48, 10,772.42 and 4,615.77 is: 6,371.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,803.48 : 10,772.42 = 4,615.77 : x
  2. Step 2: Convert to fraction form
    7,803.48/10,772.42 = 4,615.77/x
  3. Step 3: Cross multiply
    7,803.48x = 10,772.42 × 4,615.77
  4. Step 4: Simplify right side
    7,803.48x = 49,722,989.98
  5. Step 5: Solve for x
    x = 49,722,989.98/7,803.48
  6. Step 6: Final answer
    x = 6,371.90

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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.