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Finding the Fourth Proportional to 7,823.63, 11,735.50 and 1,980.26

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Solution

The fourth proportional to 7,823.63, 11,735.50 and 1,980.26 is: 2,970.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,823.63 : 11,735.50 = 1,980.26 : x
  2. Step 2: Convert to fraction form
    7,823.63/11,735.50 = 1,980.26/x
  3. Step 3: Cross multiply
    7,823.63x = 11,735.50 × 1,980.26
  4. Step 4: Simplify right side
    7,823.63x = 23,239,325.32
  5. Step 5: Solve for x
    x = 23,239,325.32/7,823.63
  6. Step 6: Final answer
    x = 2,970.40

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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.