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Finding the Fourth Proportional to 7,838.15, 10,770.63 and 6,263.51

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Solution

The fourth proportional to 7,838.15, 10,770.63 and 6,263.51 is: 8,606.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,838.15 : 10,770.63 = 6,263.51 : x
  2. Step 2: Convert to fraction form
    7,838.15/10,770.63 = 6,263.51/x
  3. Step 3: Cross multiply
    7,838.15x = 10,770.63 × 6,263.51
  4. Step 4: Simplify right side
    7,838.15x = 67,461,871.37
  5. Step 5: Solve for x
    x = 67,461,871.37/7,838.15
  6. Step 6: Final answer
    x = 8,606.87

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.