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Finding the Fourth Proportional to 7,790.65, 10,751.48 and 4,433.77

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Solution

The fourth proportional to 7,790.65, 10,751.48 and 4,433.77 is: 6,118.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,790.65 : 10,751.48 = 4,433.77 : x
  2. Step 2: Convert to fraction form
    7,790.65/10,751.48 = 4,433.77/x
  3. Step 3: Cross multiply
    7,790.65x = 10,751.48 × 4,433.77
  4. Step 4: Simplify right side
    7,790.65x = 47,669,597.38
  5. Step 5: Solve for x
    x = 47,669,597.38/7,790.65
  6. Step 6: Final answer
    x = 6,118.82

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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.