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Finding the Fourth Proportional to 11,764.01, 16,234.55 and 6,459.02

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Solution

The fourth proportional to 11,764.01, 16,234.55 and 6,459.02 is: 8,913.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,764.01 : 16,234.55 = 6,459.02 : x
  2. Step 2: Convert to fraction form
    11,764.01/16,234.55 = 6,459.02/x
  3. Step 3: Cross multiply
    11,764.01x = 16,234.55 × 6,459.02
  4. Step 4: Simplify right side
    11,764.01x = 104,859,283.14
  5. Step 5: Solve for x
    x = 104,859,283.14/11,764.01
  6. Step 6: Final answer
    x = 8,913.57

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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.