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Finding the Fourth Proportional to 7,888.96, 11,833.92 and 2,045.68

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Solution

The fourth proportional to 7,888.96, 11,833.92 and 2,045.68 is: 3,068.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,888.96 : 11,833.92 = 2,045.68 : x
  2. Step 2: Convert to fraction form
    7,888.96/11,833.92 = 2,045.68/x
  3. Step 3: Cross multiply
    7,888.96x = 11,833.92 × 2,045.68
  4. Step 4: Simplify right side
    7,888.96x = 24,208,413.47
  5. Step 5: Solve for x
    x = 24,208,413.47/7,888.96
  6. Step 6: Final answer
    x = 3,068.64

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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.