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Finding the Fourth Proportional to 7,795.32, 10,762.38 and 4,964.28

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Solution

The fourth proportional to 7,795.32, 10,762.38 and 4,964.28 is: 6,853.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,795.32 : 10,762.38 = 4,964.28 : x
  2. Step 2: Convert to fraction form
    7,795.32/10,762.38 = 4,964.28/x
  3. Step 3: Cross multiply
    7,795.32x = 10,762.38 × 4,964.28
  4. Step 4: Simplify right side
    7,795.32x = 53,427,467.79
  5. Step 5: Solve for x
    x = 53,427,467.79/7,795.32
  6. Step 6: Final answer
    x = 6,853.79

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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.