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Finding the Fourth Proportional to 11,392.22, 15,717.56 and 7,147.02

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Solution

The fourth proportional to 11,392.22, 15,717.56 and 7,147.02 is: 9,860.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,392.22 : 15,717.56 = 7,147.02 : x
  2. Step 2: Convert to fraction form
    11,392.22/15,717.56 = 7,147.02/x
  3. Step 3: Cross multiply
    11,392.22x = 15,717.56 × 7,147.02
  4. Step 4: Simplify right side
    11,392.22x = 112,333,715.67
  5. Step 5: Solve for x
    x = 112,333,715.67/11,392.22
  6. Step 6: Final answer
    x = 9,860.56

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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.