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Finding the Fourth Proportional to 12,053.13, 16,633.94 and 6,747.63

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Solution

The fourth proportional to 12,053.13, 16,633.94 and 6,747.63 is: 9,312.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,053.13 : 16,633.94 = 6,747.63 : x
  2. Step 2: Convert to fraction form
    12,053.13/16,633.94 = 6,747.63/x
  3. Step 3: Cross multiply
    12,053.13x = 16,633.94 × 6,747.63
  4. Step 4: Simplify right side
    12,053.13x = 112,239,638.82
  5. Step 5: Solve for x
    x = 112,239,638.82/12,053.13
  6. Step 6: Final answer
    x = 9,312.07

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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.