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Finding the Fourth Proportional to 8,930.54, 13,388.25 and 5,460.50

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Solution

The fourth proportional to 8,930.54, 13,388.25 and 5,460.50 is: 8,186.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,930.54 : 13,388.25 = 5,460.50 : x
  2. Step 2: Convert to fraction form
    8,930.54/13,388.25 = 5,460.50/x
  3. Step 3: Cross multiply
    8,930.54x = 13,388.25 × 5,460.50
  4. Step 4: Simplify right side
    8,930.54x = 73,106,539.13
  5. Step 5: Solve for x
    x = 73,106,539.13/8,930.54
  6. Step 6: Final answer
    x = 8,186.13

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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.