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Finding the Fourth Proportional to 10,256.57, 15,413.71 and 6,097.32

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Solution

The fourth proportional to 10,256.57, 15,413.71 and 6,097.32 is: 9,163.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,256.57 : 15,413.71 = 6,097.32 : x
  2. Step 2: Convert to fraction form
    10,256.57/15,413.71 = 6,097.32/x
  3. Step 3: Cross multiply
    10,256.57x = 15,413.71 × 6,097.32
  4. Step 4: Simplify right side
    10,256.57x = 93,982,272.40
  5. Step 5: Solve for x
    x = 93,982,272.40/10,256.57
  6. Step 6: Final answer
    x = 9,163.13

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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.