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Finding the Fourth Proportional to 8,526.42, 11,766.07 and 4,749.38

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Solution

The fourth proportional to 8,526.42, 11,766.07 and 4,749.38 is: 6,553.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,526.42 : 11,766.07 = 4,749.38 : x
  2. Step 2: Convert to fraction form
    8,526.42/11,766.07 = 4,749.38/x
  3. Step 3: Cross multiply
    8,526.42x = 11,766.07 × 4,749.38
  4. Step 4: Simplify right side
    8,526.42x = 55,881,537.54
  5. Step 5: Solve for x
    x = 55,881,537.54/8,526.42
  6. Step 6: Final answer
    x = 6,553.93

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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.