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Finding the Fourth Proportional to 11,583.40, 15,986.82 and 9,812.20

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Solution

The fourth proportional to 11,583.40, 15,986.82 and 9,812.20 is: 13,542.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,583.40 : 15,986.82 = 9,812.20 : x
  2. Step 2: Convert to fraction form
    11,583.40/15,986.82 = 9,812.20/x
  3. Step 3: Cross multiply
    11,583.40x = 15,986.82 × 9,812.20
  4. Step 4: Simplify right side
    11,583.40x = 156,865,875.20
  5. Step 5: Solve for x
    x = 156,865,875.20/11,583.40
  6. Step 6: Final answer
    x = 13,542.30

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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.