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Finding the Fourth Proportional to 7,674.87, 10,592.84 and 4,989.42

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Solution

The fourth proportional to 7,674.87, 10,592.84 and 4,989.42 is: 6,886.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,674.87 : 10,592.84 = 4,989.42 : x
  2. Step 2: Convert to fraction form
    7,674.87/10,592.84 = 4,989.42/x
  3. Step 3: Cross multiply
    7,674.87x = 10,592.84 × 4,989.42
  4. Step 4: Simplify right side
    7,674.87x = 52,852,102.81
  5. Step 5: Solve for x
    x = 52,852,102.81/7,674.87
  6. Step 6: Final answer
    x = 6,886.38

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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.