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Finding the Fourth Proportional to 8,527.84, 11,768.24 and 4,751.00

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Solution

The fourth proportional to 8,527.84, 11,768.24 and 4,751.00 is: 6,556.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,527.84 : 11,768.24 = 4,751.00 : x
  2. Step 2: Convert to fraction form
    8,527.84/11,768.24 = 4,751.00/x
  3. Step 3: Cross multiply
    8,527.84x = 11,768.24 × 4,751.00
  4. Step 4: Simplify right side
    8,527.84x = 55,910,825.64
  5. Step 5: Solve for x
    x = 55,910,825.64/8,527.84
  6. Step 6: Final answer
    x = 6,556.27

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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.