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Finding the Fourth Proportional to 8,730.72, 13,098.96 and 3,185.76

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Solution

The fourth proportional to 8,730.72, 13,098.96 and 3,185.76 is: 4,779.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,730.72 : 13,098.96 = 3,185.76 : x
  2. Step 2: Convert to fraction form
    8,730.72/13,098.96 = 3,185.76/x
  3. Step 3: Cross multiply
    8,730.72x = 13,098.96 × 3,185.76
  4. Step 4: Simplify right side
    8,730.72x = 41,730,142.81
  5. Step 5: Solve for x
    x = 41,730,142.81/8,730.72
  6. Step 6: Final answer
    x = 4,779.69

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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.