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Finding the Fourth Proportional to 7,704.02, 11,547.78 and 3,321.80

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Solution

The fourth proportional to 7,704.02, 11,547.78 and 3,321.80 is: 4,979.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,704.02 : 11,547.78 = 3,321.80 : x
  2. Step 2: Convert to fraction form
    7,704.02/11,547.78 = 3,321.80/x
  3. Step 3: Cross multiply
    7,704.02x = 11,547.78 × 3,321.80
  4. Step 4: Simplify right side
    7,704.02x = 38,359,415.60
  5. Step 5: Solve for x
    x = 38,359,415.60/7,704.02
  6. Step 6: Final answer
    x = 4,979.14

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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.