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Finding the Fourth Proportional to 7,908, 10,911.94 and 4,549.54

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Solution

The fourth proportional to 7,908, 10,911.94 and 4,549.54 is: 6,277.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,908 : 10,911.94 = 4,549.54 : x
  2. Step 2: Convert to fraction form
    7,908/10,911.94 = 4,549.54/x
  3. Step 3: Cross multiply
    7,908x = 10,911.94 × 4,549.54
  4. Step 4: Simplify right side
    7,908x = 49,644,307.51
  5. Step 5: Solve for x
    x = 49,644,307.51/7,908
  6. Step 6: Final answer
    x = 6,277.73

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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.