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Finding the Fourth Proportional to 7,527.54, 11,290.40 and 1,981.32

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Solution

The fourth proportional to 7,527.54, 11,290.40 and 1,981.32 is: 2,971.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,527.54 : 11,290.40 = 1,981.32 : x
  2. Step 2: Convert to fraction form
    7,527.54/11,290.40 = 1,981.32/x
  3. Step 3: Cross multiply
    7,527.54x = 11,290.40 × 1,981.32
  4. Step 4: Simplify right side
    7,527.54x = 22,369,895.33
  5. Step 5: Solve for x
    x = 22,369,895.33/7,527.54
  6. Step 6: Final answer
    x = 2,971.74

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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.