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Finding the Fourth Proportional to 7,971.52, 10,998.96 and 4,828.48

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Solution

The fourth proportional to 7,971.52, 10,998.96 and 4,828.48 is: 6,662.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,971.52 : 10,998.96 = 4,828.48 : x
  2. Step 2: Convert to fraction form
    7,971.52/10,998.96 = 4,828.48/x
  3. Step 3: Cross multiply
    7,971.52x = 10,998.96 × 4,828.48
  4. Step 4: Simplify right side
    7,971.52x = 53,108,258.38
  5. Step 5: Solve for x
    x = 53,108,258.38/7,971.52
  6. Step 6: Final answer
    x = 6,662.25

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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.