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Finding the Fourth Proportional to 7,950.06, 10,970.38 and 4,364.44

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Solution

The fourth proportional to 7,950.06, 10,970.38 and 4,364.44 is: 6,022.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,950.06 : 10,970.38 = 4,364.44 : x
  2. Step 2: Convert to fraction form
    7,950.06/10,970.38 = 4,364.44/x
  3. Step 3: Cross multiply
    7,950.06x = 10,970.38 × 4,364.44
  4. Step 4: Simplify right side
    7,950.06x = 47,879,565.29
  5. Step 5: Solve for x
    x = 47,879,565.29/7,950.06
  6. Step 6: Final answer
    x = 6,022.54

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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.