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Finding the Fourth Proportional to 10,256.72, 15,413.93 and 6,097.46

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Solution

The fourth proportional to 10,256.72, 15,413.93 and 6,097.46 is: 9,163.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,256.72 : 15,413.93 = 6,097.46 : x
  2. Step 2: Convert to fraction form
    10,256.72/15,413.93 = 6,097.46/x
  3. Step 3: Cross multiply
    10,256.72x = 15,413.93 × 6,097.46
  4. Step 4: Simplify right side
    10,256.72x = 93,985,714.06
  5. Step 5: Solve for x
    x = 93,985,714.06/10,256.72
  6. Step 6: Final answer
    x = 9,163.33

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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.