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Finding the Fourth Proportional to 12,053.86, 16,633.56 and 6,748.66

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Solution

The fourth proportional to 12,053.86, 16,633.56 and 6,748.66 is: 9,312.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,053.86 : 16,633.56 = 6,748.66 : x
  2. Step 2: Convert to fraction form
    12,053.86/16,633.56 = 6,748.66/x
  3. Step 3: Cross multiply
    12,053.86x = 16,633.56 × 6,748.66
  4. Step 4: Simplify right side
    12,053.86x = 112,254,241.03
  5. Step 5: Solve for x
    x = 112,254,241.03/12,053.86
  6. Step 6: Final answer
    x = 9,312.72

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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.