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Finding the Fourth Proportional to 8,543.27, 12,819 and 4,647.68

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Solution

The fourth proportional to 8,543.27, 12,819 and 4,647.68 is: 6,973.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,543.27 : 12,819 = 4,647.68 : x
  2. Step 2: Convert to fraction form
    8,543.27/12,819 = 4,647.68/x
  3. Step 3: Cross multiply
    8,543.27x = 12,819 × 4,647.68
  4. Step 4: Simplify right side
    8,543.27x = 59,578,545.83
  5. Step 5: Solve for x
    x = 59,578,545.83/8,543.27
  6. Step 6: Final answer
    x = 6,973.74

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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.