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Finding the Fourth Proportional to 12,064.12, 16,648.94 and 6,758.76

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Solution

The fourth proportional to 12,064.12, 16,648.94 and 6,758.76 is: 9,327.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,064.12 : 16,648.94 = 6,758.76 : x
  2. Step 2: Convert to fraction form
    12,064.12/16,648.94 = 6,758.76/x
  3. Step 3: Cross multiply
    12,064.12x = 16,648.94 × 6,758.76
  4. Step 4: Simplify right side
    12,064.12x = 112,526,189.71
  5. Step 5: Solve for x
    x = 112,526,189.71/12,064.12
  6. Step 6: Final answer
    x = 9,327.34

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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.