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Finding the Fourth Proportional to 7,568.13, 11,354.01 and 2,374

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Solution

The fourth proportional to 7,568.13, 11,354.01 and 2,374 is: 3,561.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,568.13 : 11,354.01 = 2,374 : x
  2. Step 2: Convert to fraction form
    7,568.13/11,354.01 = 2,374/x
  3. Step 3: Cross multiply
    7,568.13x = 11,354.01 × 2,374
  4. Step 4: Simplify right side
    7,568.13x = 26,954,419.74
  5. Step 5: Solve for x
    x = 26,954,419.74/7,568.13
  6. Step 6: Final answer
    x = 3,561.57

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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.