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Finding the Fourth Proportional to 11,820.51, 16,312.10 and 6,515.82

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Solution

The fourth proportional to 11,820.51, 16,312.10 and 6,515.82 is: 8,991.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,820.51 : 16,312.10 = 6,515.82 : x
  2. Step 2: Convert to fraction form
    11,820.51/16,312.10 = 6,515.82/x
  3. Step 3: Cross multiply
    11,820.51x = 16,312.10 × 6,515.82
  4. Step 4: Simplify right side
    11,820.51x = 106,286,593.28
  5. Step 5: Solve for x
    x = 106,286,593.28/11,820.51
  6. Step 6: Final answer
    x = 8,991.71

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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.