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Finding the Fourth Proportional to 7,095.87, 10,643.81 and 1,901.88

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Solution

The fourth proportional to 7,095.87, 10,643.81 and 1,901.88 is: 2,852.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,095.87 : 10,643.81 = 1,901.88 : x
  2. Step 2: Convert to fraction form
    7,095.87/10,643.81 = 1,901.88/x
  3. Step 3: Cross multiply
    7,095.87x = 10,643.81 × 1,901.88
  4. Step 4: Simplify right side
    7,095.87x = 20,243,239.85
  5. Step 5: Solve for x
    x = 20,243,239.85/7,095.87
  6. Step 6: Final answer
    x = 2,852.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.