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Finding the Fourth Proportional to 7,803.45, 10,769.37 and 4,446.40

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Solution

The fourth proportional to 7,803.45, 10,769.37 and 4,446.40 is: 6,136.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,803.45 : 10,769.37 = 4,446.40 : x
  2. Step 2: Convert to fraction form
    7,803.45/10,769.37 = 4,446.40/x
  3. Step 3: Cross multiply
    7,803.45x = 10,769.37 × 4,446.40
  4. Step 4: Simplify right side
    7,803.45x = 47,884,926.77
  5. Step 5: Solve for x
    x = 47,884,926.77/7,803.45
  6. Step 6: Final answer
    x = 6,136.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.