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Finding the Fourth Proportional to 8,956.44, 12,365.40 and 5,775.24

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Solution

The fourth proportional to 8,956.44, 12,365.40 and 5,775.24 is: 7,973.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,956.44 : 12,365.40 = 5,775.24 : x
  2. Step 2: Convert to fraction form
    8,956.44/12,365.40 = 5,775.24/x
  3. Step 3: Cross multiply
    8,956.44x = 12,365.40 × 5,775.24
  4. Step 4: Simplify right side
    8,956.44x = 71,413,152.70
  5. Step 5: Solve for x
    x = 71,413,152.70/8,956.44
  6. Step 6: Final answer
    x = 7,973.39

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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.