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Finding the Fourth Proportional to 7,527.15, 11,290.77 and 1,980.54

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Solution

The fourth proportional to 7,527.15, 11,290.77 and 1,980.54 is: 2,970.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,527.15 : 11,290.77 = 1,980.54 : x
  2. Step 2: Convert to fraction form
    7,527.15/11,290.77 = 1,980.54/x
  3. Step 3: Cross multiply
    7,527.15x = 11,290.77 × 1,980.54
  4. Step 4: Simplify right side
    7,527.15x = 22,361,821.62
  5. Step 5: Solve for x
    x = 22,361,821.62/7,527.15
  6. Step 6: Final answer
    x = 2,970.82

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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.