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Finding the Fourth Proportional to 11,283.71, 15,539.24 and 9,677.68

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Solution

The fourth proportional to 11,283.71, 15,539.24 and 9,677.68 is: 13,327.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,283.71 : 15,539.24 = 9,677.68 : x
  2. Step 2: Convert to fraction form
    11,283.71/15,539.24 = 9,677.68/x
  3. Step 3: Cross multiply
    11,283.71x = 15,539.24 × 9,677.68
  4. Step 4: Simplify right side
    11,283.71x = 150,383,777.51
  5. Step 5: Solve for x
    x = 150,383,777.51/11,283.71
  6. Step 6: Final answer
    x = 13,327.52

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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.