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Finding the Fourth Proportional to 7,452.96, 10,288.32 and 4,803.84

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Solution

The fourth proportional to 7,452.96, 10,288.32 and 4,803.84 is: 6,631.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,452.96 : 10,288.32 = 4,803.84 : x
  2. Step 2: Convert to fraction form
    7,452.96/10,288.32 = 4,803.84/x
  3. Step 3: Cross multiply
    7,452.96x = 10,288.32 × 4,803.84
  4. Step 4: Simplify right side
    7,452.96x = 49,423,443.15
  5. Step 5: Solve for x
    x = 49,423,443.15/7,452.96
  6. Step 6: Final answer
    x = 6,631.38

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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.