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Finding the Fourth Proportional to 8,951.36, 12,351.75 and 4,971.93

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Solution

The fourth proportional to 8,951.36, 12,351.75 and 4,971.93 is: 6,860.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,951.36 : 12,351.75 = 4,971.93 : x
  2. Step 2: Convert to fraction form
    8,951.36/12,351.75 = 4,971.93/x
  3. Step 3: Cross multiply
    8,951.36x = 12,351.75 × 4,971.93
  4. Step 4: Simplify right side
    8,951.36x = 61,412,036.38
  5. Step 5: Solve for x
    x = 61,412,036.38/8,951.36
  6. Step 6: Final answer
    x = 6,860.64

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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.