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Finding the Fourth Proportional to 8,924.36, 12,307.38 and 5,777

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Solution

The fourth proportional to 8,924.36, 12,307.38 and 5,777 is: 7,966.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,924.36 : 12,307.38 = 5,777 : x
  2. Step 2: Convert to fraction form
    8,924.36/12,307.38 = 5,777/x
  3. Step 3: Cross multiply
    8,924.36x = 12,307.38 × 5,777
  4. Step 4: Simplify right side
    8,924.36x = 71,099,734.26
  5. Step 5: Solve for x
    x = 71,099,734.26/8,924.36
  6. Step 6: Final answer
    x = 7,966.93

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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.