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Finding the Fourth Proportional to 11,583.96, 15,987.57 and 7,335.41

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Solution

The fourth proportional to 11,583.96, 15,987.57 and 7,335.41 is: 10,123.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,583.96 : 15,987.57 = 7,335.41 : x
  2. Step 2: Convert to fraction form
    11,583.96/15,987.57 = 7,335.41/x
  3. Step 3: Cross multiply
    11,583.96x = 15,987.57 × 7,335.41
  4. Step 4: Simplify right side
    11,583.96x = 117,275,392.43
  5. Step 5: Solve for x
    x = 117,275,392.43/11,583.96
  6. Step 6: Final answer
    x = 10,123.95

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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.