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Finding the Fourth Proportional to 11,764.58, 16,236.45 and 6,459.89

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Solution

The fourth proportional to 11,764.58, 16,236.45 and 6,459.89 is: 8,915.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,764.58 : 16,236.45 = 6,459.89 : x
  2. Step 2: Convert to fraction form
    11,764.58/16,236.45 = 6,459.89/x
  3. Step 3: Cross multiply
    11,764.58x = 16,236.45 × 6,459.89
  4. Step 4: Simplify right side
    11,764.58x = 104,885,599.81
  5. Step 5: Solve for x
    x = 104,885,599.81/11,764.58
  6. Step 6: Final answer
    x = 8,915.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.