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Finding the Fourth Proportional to 7,859.63, 10,838.81 and 5,166.08

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Solution

The fourth proportional to 7,859.63, 10,838.81 and 5,166.08 is: 7,124.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,859.63 : 10,838.81 = 5,166.08 : x
  2. Step 2: Convert to fraction form
    7,859.63/10,838.81 = 5,166.08/x
  3. Step 3: Cross multiply
    7,859.63x = 10,838.81 × 5,166.08
  4. Step 4: Simplify right side
    7,859.63x = 55,994,158.93
  5. Step 5: Solve for x
    x = 55,994,158.93/7,859.63
  6. Step 6: Final answer
    x = 7,124.27

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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.