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Finding the Fourth Proportional to 7,795.65, 10,758.54 and 4,438.46

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Solution

The fourth proportional to 7,795.65, 10,758.54 and 4,438.46 is: 6,125.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,795.65 : 10,758.54 = 4,438.46 : x
  2. Step 2: Convert to fraction form
    7,795.65/10,758.54 = 4,438.46/x
  3. Step 3: Cross multiply
    7,795.65x = 10,758.54 × 4,438.46
  4. Step 4: Simplify right side
    7,795.65x = 47,751,349.45
  5. Step 5: Solve for x
    x = 47,751,349.45/7,795.65
  6. Step 6: Final answer
    x = 6,125.39

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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.