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Finding the Fourth Proportional to 11,615.42, 16,013.40 and 7,981.34

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Solution

The fourth proportional to 11,615.42, 16,013.40 and 7,981.34 is: 11,003.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,615.42 : 16,013.40 = 7,981.34 : x
  2. Step 2: Convert to fraction form
    11,615.42/16,013.40 = 7,981.34/x
  3. Step 3: Cross multiply
    11,615.42x = 16,013.40 × 7,981.34
  4. Step 4: Simplify right side
    11,615.42x = 127,808,389.96
  5. Step 5: Solve for x
    x = 127,808,389.96/11,615.42
  6. Step 6: Final answer
    x = 11,003.34

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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.