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Finding the Fourth Proportional to 11,413.24, 15,750.28 and 6,445.24

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Solution

The fourth proportional to 11,413.24, 15,750.28 and 6,445.24 is: 8,894.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,413.24 : 15,750.28 = 6,445.24 : x
  2. Step 2: Convert to fraction form
    11,413.24/15,750.28 = 6,445.24/x
  3. Step 3: Cross multiply
    11,413.24x = 15,750.28 × 6,445.24
  4. Step 4: Simplify right side
    11,413.24x = 101,514,334.67
  5. Step 5: Solve for x
    x = 101,514,334.67/11,413.24
  6. Step 6: Final answer
    x = 8,894.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.