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Finding the Fourth Proportional to 7,864, 10,852.84 and 4,552

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Solution

The fourth proportional to 7,864, 10,852.84 and 4,552 is: 6,282.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,864 : 10,852.84 = 4,552 : x
  2. Step 2: Convert to fraction form
    7,864/10,852.84 = 4,552/x
  3. Step 3: Cross multiply
    7,864x = 10,852.84 × 4,552
  4. Step 4: Simplify right side
    7,864x = 49,402,127.68
  5. Step 5: Solve for x
    x = 49,402,127.68/7,864
  6. Step 6: Final answer
    x = 6,282.06

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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.