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Finding the Fourth Proportional to 7,738.76, 10,655.21 and 6,829.34

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Solution

The fourth proportional to 7,738.76, 10,655.21 and 6,829.34 is: 9,403.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,738.76 : 10,655.21 = 6,829.34 : x
  2. Step 2: Convert to fraction form
    7,738.76/10,655.21 = 6,829.34/x
  3. Step 3: Cross multiply
    7,738.76x = 10,655.21 × 6,829.34
  4. Step 4: Simplify right side
    7,738.76x = 72,768,015.66
  5. Step 5: Solve for x
    x = 72,768,015.66/7,738.76
  6. Step 6: Final answer
    x = 9,403.06

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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.