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Finding the Fourth Proportional to 11,583.84, 15,973.02 and 8,605.20

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Solution

The fourth proportional to 11,583.84, 15,973.02 and 8,605.20 is: 11,865.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,583.84 : 15,973.02 = 8,605.20 : x
  2. Step 2: Convert to fraction form
    11,583.84/15,973.02 = 8,605.20/x
  3. Step 3: Cross multiply
    11,583.84x = 15,973.02 × 8,605.20
  4. Step 4: Simplify right side
    11,583.84x = 137,451,031.70
  5. Step 5: Solve for x
    x = 137,451,031.70/11,583.84
  6. Step 6: Final answer
    x = 11,865.76

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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.