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Finding the Fourth Proportional to 8,259.68, 12,379.92 and 4,564.16

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Solution

The fourth proportional to 8,259.68, 12,379.92 and 4,564.16 is: 6,840.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,259.68 : 12,379.92 = 4,564.16 : x
  2. Step 2: Convert to fraction form
    8,259.68/12,379.92 = 4,564.16/x
  3. Step 3: Cross multiply
    8,259.68x = 12,379.92 × 4,564.16
  4. Step 4: Simplify right side
    8,259.68x = 56,503,935.67
  5. Step 5: Solve for x
    x = 56,503,935.67/8,259.68
  6. Step 6: Final answer
    x = 6,840.94

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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.