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Finding the Fourth Proportional to 10,274.64, 15,413.52 and 4,431.28

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Solution

The fourth proportional to 10,274.64, 15,413.52 and 4,431.28 is: 6,647.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,274.64 : 15,413.52 = 4,431.28 : x
  2. Step 2: Convert to fraction form
    10,274.64/15,413.52 = 4,431.28/x
  3. Step 3: Cross multiply
    10,274.64x = 15,413.52 × 4,431.28
  4. Step 4: Simplify right side
    10,274.64x = 68,301,622.91
  5. Step 5: Solve for x
    x = 68,301,622.91/10,274.64
  6. Step 6: Final answer
    x = 6,647.59

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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.