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Finding the Fourth Proportional to 7,283.92, 10,927.70 and 2,354.06

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Solution

The fourth proportional to 7,283.92, 10,927.70 and 2,354.06 is: 3,531.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,283.92 : 10,927.70 = 2,354.06 : x
  2. Step 2: Convert to fraction form
    7,283.92/10,927.70 = 2,354.06/x
  3. Step 3: Cross multiply
    7,283.92x = 10,927.70 × 2,354.06
  4. Step 4: Simplify right side
    7,283.92x = 25,724,395.05
  5. Step 5: Solve for x
    x = 25,724,395.05/7,283.92
  6. Step 6: Final answer
    x = 3,531.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.