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Finding the Fourth Proportional to 8,982.90, 13,474.35 and 7,730.10

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Solution

The fourth proportional to 8,982.90, 13,474.35 and 7,730.10 is: 11,595.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,982.90 : 13,474.35 = 7,730.10 : x
  2. Step 2: Convert to fraction form
    8,982.90/13,474.35 = 7,730.10/x
  3. Step 3: Cross multiply
    8,982.90x = 13,474.35 × 7,730.10
  4. Step 4: Simplify right side
    8,982.90x = 104,158,072.94
  5. Step 5: Solve for x
    x = 104,158,072.94/8,982.90
  6. Step 6: Final answer
    x = 11,595.15

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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.