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Finding the Fourth Proportional to 7,573.28, 10,448.72 and 4,260.64

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Solution

The fourth proportional to 7,573.28, 10,448.72 and 4,260.64 is: 5,878.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,573.28 : 10,448.72 = 4,260.64 : x
  2. Step 2: Convert to fraction form
    7,573.28/10,448.72 = 4,260.64/x
  3. Step 3: Cross multiply
    7,573.28x = 10,448.72 × 4,260.64
  4. Step 4: Simplify right side
    7,573.28x = 44,518,234.38
  5. Step 5: Solve for x
    x = 44,518,234.38/7,573.28
  6. Step 6: Final answer
    x = 5,878.33

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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.