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Finding the Fourth Proportional to 7,738.58, 10,654.95 and 6,829.16

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Solution

The fourth proportional to 7,738.58, 10,654.95 and 6,829.16 is: 9,402.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,738.58 : 10,654.95 = 6,829.16 : x
  2. Step 2: Convert to fraction form
    7,738.58/10,654.95 = 6,829.16/x
  3. Step 3: Cross multiply
    7,738.58x = 10,654.95 × 6,829.16
  4. Step 4: Simplify right side
    7,738.58x = 72,764,305.07
  5. Step 5: Solve for x
    x = 72,764,305.07/7,738.58
  6. Step 6: Final answer
    x = 9,402.80

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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.