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Finding the Fourth Proportional to 7,975.80, 11,010.06 and 5,146.20

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Solution

The fourth proportional to 7,975.80, 11,010.06 and 5,146.20 is: 7,103.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,975.80 : 11,010.06 = 5,146.20 : x
  2. Step 2: Convert to fraction form
    7,975.80/11,010.06 = 5,146.20/x
  3. Step 3: Cross multiply
    7,975.80x = 11,010.06 × 5,146.20
  4. Step 4: Simplify right side
    7,975.80x = 56,659,970.77
  5. Step 5: Solve for x
    x = 56,659,970.77/7,975.80
  6. Step 6: Final answer
    x = 7,103.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.