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Finding the Fourth Proportional to 7,729.26, 10,670.52 and 6,047.10

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Solution

The fourth proportional to 7,729.26, 10,670.52 and 6,047.10 is: 8,348.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,729.26 : 10,670.52 = 6,047.10 : x
  2. Step 2: Convert to fraction form
    7,729.26/10,670.52 = 6,047.10/x
  3. Step 3: Cross multiply
    7,729.26x = 10,670.52 × 6,047.10
  4. Step 4: Simplify right side
    7,729.26x = 64,525,617.90
  5. Step 5: Solve for x
    x = 64,525,617.90/7,729.26
  6. Step 6: Final answer
    x = 8,348.23

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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.