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Finding the Fourth Proportional to 8,526.84, 11,766.85 and 4,749.99

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Solution

The fourth proportional to 8,526.84, 11,766.85 and 4,749.99 is: 6,554.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,526.84 : 11,766.85 = 4,749.99 : x
  2. Step 2: Convert to fraction form
    8,526.84/11,766.85 = 4,749.99/x
  3. Step 3: Cross multiply
    8,526.84x = 11,766.85 × 4,749.99
  4. Step 4: Simplify right side
    8,526.84x = 55,892,419.83
  5. Step 5: Solve for x
    x = 55,892,419.83/8,526.84
  6. Step 6: Final answer
    x = 6,554.88

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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.