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Finding the Fourth Proportional to 6,524.35, 9,778.98 and 3,007.00

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Solution

The fourth proportional to 6,524.35, 9,778.98 and 3,007.00 is: 4,507.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,524.35 : 9,778.98 = 3,007.00 : x
  2. Step 2: Convert to fraction form
    6,524.35/9,778.98 = 3,007.00/x
  3. Step 3: Cross multiply
    6,524.35x = 9,778.98 × 3,007.00
  4. Step 4: Simplify right side
    6,524.35x = 29,405,368.41
  5. Step 5: Solve for x
    x = 29,405,368.41/6,524.35
  6. Step 6: Final answer
    x = 4,507.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.