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Finding the Fourth Proportional to 7,272, 10,038.72 and 4,479.12

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Solution

The fourth proportional to 7,272, 10,038.72 and 4,479.12 is: 6,183.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,272 : 10,038.72 = 4,479.12 : x
  2. Step 2: Convert to fraction form
    7,272/10,038.72 = 4,479.12/x
  3. Step 3: Cross multiply
    7,272x = 10,038.72 × 4,479.12
  4. Step 4: Simplify right side
    7,272x = 44,964,631.53
  5. Step 5: Solve for x
    x = 44,964,631.53/7,272
  6. Step 6: Final answer
    x = 6,183.26

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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.