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Finding the Fourth Proportional to 8,526.39, 11,766.36 and 4,749.36

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Solution

The fourth proportional to 8,526.39, 11,766.36 and 4,749.36 is: 6,554.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,526.39 : 11,766.36 = 4,749.36 : x
  2. Step 2: Convert to fraction form
    8,526.39/11,766.36 = 4,749.36/x
  3. Step 3: Cross multiply
    8,526.39x = 11,766.36 × 4,749.36
  4. Step 4: Simplify right side
    8,526.39x = 55,882,679.53
  5. Step 5: Solve for x
    x = 55,882,679.53/8,526.39
  6. Step 6: Final answer
    x = 6,554.08

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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.