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Finding the Fourth Proportional to 7,556.58, 10,426.85 and 4,199.31

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Solution

The fourth proportional to 7,556.58, 10,426.85 and 4,199.31 is: 5,794.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,556.58 : 10,426.85 = 4,199.31 : x
  2. Step 2: Convert to fraction form
    7,556.58/10,426.85 = 4,199.31/x
  3. Step 3: Cross multiply
    7,556.58x = 10,426.85 × 4,199.31
  4. Step 4: Simplify right side
    7,556.58x = 43,785,502.34
  5. Step 5: Solve for x
    x = 43,785,502.34/7,556.58
  6. Step 6: Final answer
    x = 5,794.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.