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Finding the Fourth Proportional to 7,702.40, 11,556.48 and 2,771.84

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Solution

The fourth proportional to 7,702.40, 11,556.48 and 2,771.84 is: 4,158.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,702.40 : 11,556.48 = 2,771.84 : x
  2. Step 2: Convert to fraction form
    7,702.40/11,556.48 = 2,771.84/x
  3. Step 3: Cross multiply
    7,702.40x = 11,556.48 × 2,771.84
  4. Step 4: Simplify right side
    7,702.40x = 32,032,713.52
  5. Step 5: Solve for x
    x = 32,032,713.52/7,702.40
  6. Step 6: Final answer
    x = 4,158.80

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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.