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Finding the Fourth Proportional to 6,935.58, 10,407.48 and 2,556.11

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Solution

The fourth proportional to 6,935.58, 10,407.48 and 2,556.11 is: 3,835.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,935.58 : 10,407.48 = 2,556.11 : x
  2. Step 2: Convert to fraction form
    6,935.58/10,407.48 = 2,556.11/x
  3. Step 3: Cross multiply
    6,935.58x = 10,407.48 × 2,556.11
  4. Step 4: Simplify right side
    6,935.58x = 26,602,611.67
  5. Step 5: Solve for x
    x = 26,602,611.67/6,935.58
  6. Step 6: Final answer
    x = 3,835.67

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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.