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Finding the Fourth Proportional to 7,596.32, 10,480.14 and 4,763.82

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Solution

The fourth proportional to 7,596.32, 10,480.14 and 4,763.82 is: 6,572.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,596.32 : 10,480.14 = 4,763.82 : x
  2. Step 2: Convert to fraction form
    7,596.32/10,480.14 = 4,763.82/x
  3. Step 3: Cross multiply
    7,596.32x = 10,480.14 × 4,763.82
  4. Step 4: Simplify right side
    7,596.32x = 49,925,443.37
  5. Step 5: Solve for x
    x = 49,925,443.37/7,596.32
  6. Step 6: Final answer
    x = 6,572.32

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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.