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Finding the Fourth Proportional to 6,910.52, 10,365.72 and 1,980.15

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Solution

The fourth proportional to 6,910.52, 10,365.72 and 1,980.15 is: 2,970.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,910.52 : 10,365.72 = 1,980.15 : x
  2. Step 2: Convert to fraction form
    6,910.52/10,365.72 = 1,980.15/x
  3. Step 3: Cross multiply
    6,910.52x = 10,365.72 × 1,980.15
  4. Step 4: Simplify right side
    6,910.52x = 20,525,632.77
  5. Step 5: Solve for x
    x = 20,525,632.77/6,910.52
  6. Step 6: Final answer
    x = 2,970.20

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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.