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Finding the Fourth Proportional to 7,946.65, 10,966.34 and 4,361.67

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Solution

The fourth proportional to 7,946.65, 10,966.34 and 4,361.67 is: 6,019.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,946.65 : 10,966.34 = 4,361.67 : x
  2. Step 2: Convert to fraction form
    7,946.65/10,966.34 = 4,361.67/x
  3. Step 3: Cross multiply
    7,946.65x = 10,966.34 × 4,361.67
  4. Step 4: Simplify right side
    7,946.65x = 47,831,556.19
  5. Step 5: Solve for x
    x = 47,831,556.19/7,946.65
  6. Step 6: Final answer
    x = 6,019.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.