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Finding the Fourth Proportional to 7,807.86, 11,712.33 and 2,543.67

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Solution

The fourth proportional to 7,807.86, 11,712.33 and 2,543.67 is: 3,815.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,807.86 : 11,712.33 = 2,543.67 : x
  2. Step 2: Convert to fraction form
    7,807.86/11,712.33 = 2,543.67/x
  3. Step 3: Cross multiply
    7,807.86x = 11,712.33 × 2,543.67
  4. Step 4: Simplify right side
    7,807.86x = 29,792,302.45
  5. Step 5: Solve for x
    x = 29,792,302.45/7,807.86
  6. Step 6: Final answer
    x = 3,815.68

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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.