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Finding the Fourth Proportional to 7,526.43, 11,278.17 and 3,823.11

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Solution

The fourth proportional to 7,526.43, 11,278.17 and 3,823.11 is: 5,728.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,526.43 : 11,278.17 = 3,823.11 : x
  2. Step 2: Convert to fraction form
    7,526.43/11,278.17 = 3,823.11/x
  3. Step 3: Cross multiply
    7,526.43x = 11,278.17 × 3,823.11
  4. Step 4: Simplify right side
    7,526.43x = 43,117,684.51
  5. Step 5: Solve for x
    x = 43,117,684.51/7,526.43
  6. Step 6: Final answer
    x = 5,728.84

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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.