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Finding the Fourth Proportional to 7,816.84, 10,786.98 and 4,671.40

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Solution

The fourth proportional to 7,816.84, 10,786.98 and 4,671.40 is: 6,446.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,816.84 : 10,786.98 = 4,671.40 : x
  2. Step 2: Convert to fraction form
    7,816.84/10,786.98 = 4,671.40/x
  3. Step 3: Cross multiply
    7,816.84x = 10,786.98 × 4,671.40
  4. Step 4: Simplify right side
    7,816.84x = 50,390,298.37
  5. Step 5: Solve for x
    x = 50,390,298.37/7,816.84
  6. Step 6: Final answer
    x = 6,446.38

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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.