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Finding the Fourth Proportional to 11,602.52, 17,413.02 and 4,209.10

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Solution

The fourth proportional to 11,602.52, 17,413.02 and 4,209.10 is: 6,317.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,602.52 : 17,413.02 = 4,209.10 : x
  2. Step 2: Convert to fraction form
    11,602.52/17,413.02 = 4,209.10/x
  3. Step 3: Cross multiply
    11,602.52x = 17,413.02 × 4,209.10
  4. Step 4: Simplify right side
    11,602.52x = 73,293,142.48
  5. Step 5: Solve for x
    x = 73,293,142.48/11,602.52
  6. Step 6: Final answer
    x = 6,317.00

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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.