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Finding the Fourth Proportional to 11,413.52, 15,750.18 and 7,166.78

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Solution

The fourth proportional to 11,413.52, 15,750.18 and 7,166.78 is: 9,889.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,413.52 : 15,750.18 = 7,166.78 : x
  2. Step 2: Convert to fraction form
    11,413.52/15,750.18 = 7,166.78/x
  3. Step 3: Cross multiply
    11,413.52x = 15,750.18 × 7,166.78
  4. Step 4: Simplify right side
    11,413.52x = 112,878,075.02
  5. Step 5: Solve for x
    x = 112,878,075.02/11,413.52
  6. Step 6: Final answer
    x = 9,889.86

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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.