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Finding the Fourth Proportional to 7,830.03, 11,736.81 and 3,666.54

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Solution

The fourth proportional to 7,830.03, 11,736.81 and 3,666.54 is: 5,495.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,830.03 : 11,736.81 = 3,666.54 : x
  2. Step 2: Convert to fraction form
    7,830.03/11,736.81 = 3,666.54/x
  3. Step 3: Cross multiply
    7,830.03x = 11,736.81 × 3,666.54
  4. Step 4: Simplify right side
    7,830.03x = 43,033,483.34
  5. Step 5: Solve for x
    x = 43,033,483.34/7,830.03
  6. Step 6: Final answer
    x = 5,495.95

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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.