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Finding the Fourth Proportional to 7,776.64, 10,738.47 and 6,668.56

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Solution

The fourth proportional to 7,776.64, 10,738.47 and 6,668.56 is: 9,208.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,776.64 : 10,738.47 = 6,668.56 : x
  2. Step 2: Convert to fraction form
    7,776.64/10,738.47 = 6,668.56/x
  3. Step 3: Cross multiply
    7,776.64x = 10,738.47 × 6,668.56
  4. Step 4: Simplify right side
    7,776.64x = 71,610,131.50
  5. Step 5: Solve for x
    x = 71,610,131.50/7,776.64
  6. Step 6: Final answer
    x = 9,208.36

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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.