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Finding the Fourth Proportional to 11,312.01, 16,970.40 and 3,413.84

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Solution

The fourth proportional to 11,312.01, 16,970.40 and 3,413.84 is: 5,121.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,312.01 : 16,970.40 = 3,413.84 : x
  2. Step 2: Convert to fraction form
    11,312.01/16,970.40 = 3,413.84/x
  3. Step 3: Cross multiply
    11,312.01x = 16,970.40 × 3,413.84
  4. Step 4: Simplify right side
    11,312.01x = 57,934,145.48
  5. Step 5: Solve for x
    x = 57,934,145.48/11,312.01
  6. Step 6: Final answer
    x = 5,121.47

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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.