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Finding the Fourth Proportional to 7,877.07, 11,816.75 and 3,658.30

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Solution

The fourth proportional to 7,877.07, 11,816.75 and 3,658.30 is: 5,487.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,877.07 : 11,816.75 = 3,658.30 : x
  2. Step 2: Convert to fraction form
    7,877.07/11,816.75 = 3,658.30/x
  3. Step 3: Cross multiply
    7,877.07x = 11,816.75 × 3,658.30
  4. Step 4: Simplify right side
    7,877.07x = 43,229,196.13
  5. Step 5: Solve for x
    x = 43,229,196.13/7,877.07
  6. Step 6: Final answer
    x = 5,487.98

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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.