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Finding the Fourth Proportional to 8,556.34, 12,835.53 and 3,290.13

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Solution

The fourth proportional to 8,556.34, 12,835.53 and 3,290.13 is: 4,935.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,556.34 : 12,835.53 = 3,290.13 : x
  2. Step 2: Convert to fraction form
    8,556.34/12,835.53 = 3,290.13/x
  3. Step 3: Cross multiply
    8,556.34x = 12,835.53 × 3,290.13
  4. Step 4: Simplify right side
    8,556.34x = 42,230,506.37
  5. Step 5: Solve for x
    x = 42,230,506.37/8,556.34
  6. Step 6: Final answer
    x = 4,935.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.