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Finding the Fourth Proportional to 11,655.01, 16,083.93 and 6,349.82

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Solution

The fourth proportional to 11,655.01, 16,083.93 and 6,349.82 is: 8,762.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,655.01 : 16,083.93 = 6,349.82 : x
  2. Step 2: Convert to fraction form
    11,655.01/16,083.93 = 6,349.82/x
  3. Step 3: Cross multiply
    11,655.01x = 16,083.93 × 6,349.82
  4. Step 4: Simplify right side
    11,655.01x = 102,130,060.39
  5. Step 5: Solve for x
    x = 102,130,060.39/11,655.01
  6. Step 6: Final answer
    x = 8,762.76

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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.