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Finding the Fourth Proportional to 8,623.44, 11,873.06 and 7,835.13

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Solution

The fourth proportional to 8,623.44, 11,873.06 and 7,835.13 is: 10,787.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,623.44 : 11,873.06 = 7,835.13 : x
  2. Step 2: Convert to fraction form
    8,623.44/11,873.06 = 7,835.13/x
  3. Step 3: Cross multiply
    8,623.44x = 11,873.06 × 7,835.13
  4. Step 4: Simplify right side
    8,623.44x = 93,026,968.60
  5. Step 5: Solve for x
    x = 93,026,968.60/8,623.44
  6. Step 6: Final answer
    x = 10,787.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.