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Finding the Fourth Proportional to 6,505.16, 8,975.06 and 3,986.00

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Solution

The fourth proportional to 6,505.16, 8,975.06 and 3,986.00 is: 5,499.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,505.16 : 8,975.06 = 3,986.00 : x
  2. Step 2: Convert to fraction form
    6,505.16/8,975.06 = 3,986.00/x
  3. Step 3: Cross multiply
    6,505.16x = 8,975.06 × 3,986.00
  4. Step 4: Simplify right side
    6,505.16x = 35,774,524.35
  5. Step 5: Solve for x
    x = 35,774,524.35/6,505.16
  6. Step 6: Final answer
    x = 5,499.41

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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.