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Finding the Fourth Proportional to 7,895.10, 10,895.38 and 4,358.23

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Solution

The fourth proportional to 7,895.10, 10,895.38 and 4,358.23 is: 6,014.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,895.10 : 10,895.38 = 4,358.23 : x
  2. Step 2: Convert to fraction form
    7,895.10/10,895.38 = 4,358.23/x
  3. Step 3: Cross multiply
    7,895.10x = 10,895.38 × 4,358.23
  4. Step 4: Simplify right side
    7,895.10x = 47,484,571.98
  5. Step 5: Solve for x
    x = 47,484,571.98/7,895.10
  6. Step 6: Final answer
    x = 6,014.44

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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.