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Finding the Fourth Proportional to 11,615.84, 16,029.90 and 6,581.00

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Solution

The fourth proportional to 11,615.84, 16,029.90 and 6,581.00 is: 9,081.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,615.84 : 16,029.90 = 6,581.00 : x
  2. Step 2: Convert to fraction form
    11,615.84/16,029.90 = 6,581.00/x
  3. Step 3: Cross multiply
    11,615.84x = 16,029.90 × 6,581.00
  4. Step 4: Simplify right side
    11,615.84x = 105,492,691.75
  5. Step 5: Solve for x
    x = 105,492,691.75/11,615.84
  6. Step 6: Final answer
    x = 9,081.79

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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.