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Finding the Fourth Proportional to 7,289.49, 10,930.35 and 2,848.67

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Solution

The fourth proportional to 7,289.49, 10,930.35 and 2,848.67 is: 4,271.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,289.49 : 10,930.35 = 2,848.67 : x
  2. Step 2: Convert to fraction form
    7,289.49/10,930.35 = 2,848.67/x
  3. Step 3: Cross multiply
    7,289.49x = 10,930.35 × 2,848.67
  4. Step 4: Simplify right side
    7,289.49x = 31,136,905.48
  5. Step 5: Solve for x
    x = 31,136,905.48/7,289.49
  6. Step 6: Final answer
    x = 4,271.48

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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.