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Finding the Fourth Proportional to 28,275.72, 42,413.56 and 7,215.77

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Solution

The fourth proportional to 28,275.72, 42,413.56 and 7,215.77 is: 10,823.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,275.72 : 42,413.56 = 7,215.77 : x
  2. Step 2: Convert to fraction form
    28,275.72/42,413.56 = 7,215.77/x
  3. Step 3: Cross multiply
    28,275.72x = 42,413.56 × 7,215.77
  4. Step 4: Simplify right side
    28,275.72x = 306,046,263.73
  5. Step 5: Solve for x
    x = 306,046,263.73/28,275.72
  6. Step 6: Final answer
    x = 10,823.64

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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.