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Finding the Fourth Proportional to 8,455.78, 11,661.82 and 5,097.86

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Solution

The fourth proportional to 8,455.78, 11,661.82 and 5,097.86 is: 7,030.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,455.78 : 11,661.82 = 5,097.86 : x
  2. Step 2: Convert to fraction form
    8,455.78/11,661.82 = 5,097.86/x
  3. Step 3: Cross multiply
    8,455.78x = 11,661.82 × 5,097.86
  4. Step 4: Simplify right side
    8,455.78x = 59,450,325.71
  5. Step 5: Solve for x
    x = 59,450,325.71/8,455.78
  6. Step 6: Final answer
    x = 7,030.73

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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.