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Finding the Fourth Proportional to 8,281.85, 11,413.58 and 6,154.01

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Solution

The fourth proportional to 8,281.85, 11,413.58 and 6,154.01 is: 8,481.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,281.85 : 11,413.58 = 6,154.01 : x
  2. Step 2: Convert to fraction form
    8,281.85/11,413.58 = 6,154.01/x
  3. Step 3: Cross multiply
    8,281.85x = 11,413.58 × 6,154.01
  4. Step 4: Simplify right side
    8,281.85x = 70,239,243.77
  5. Step 5: Solve for x
    x = 70,239,243.77/8,281.85
  6. Step 6: Final answer
    x = 8,481.11

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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.