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Finding the Fourth Proportional to 7,677.40, 11,515.60 and 2,054.99

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Solution

The fourth proportional to 7,677.40, 11,515.60 and 2,054.99 is: 3,082.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,677.40 : 11,515.60 = 2,054.99 : x
  2. Step 2: Convert to fraction form
    7,677.40/11,515.60 = 2,054.99/x
  3. Step 3: Cross multiply
    7,677.40x = 11,515.60 × 2,054.99
  4. Step 4: Simplify right side
    7,677.40x = 23,664,442.84
  5. Step 5: Solve for x
    x = 23,664,442.84/7,677.40
  6. Step 6: Final answer
    x = 3,082.35

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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.