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Finding the Fourth Proportional to 12,910.41, 19,360.83 and 7,646.58

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Solution

The fourth proportional to 12,910.41, 19,360.83 and 7,646.58 is: 11,467.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,910.41 : 19,360.83 = 7,646.58 : x
  2. Step 2: Convert to fraction form
    12,910.41/19,360.83 = 7,646.58/x
  3. Step 3: Cross multiply
    12,910.41x = 19,360.83 × 7,646.58
  4. Step 4: Simplify right side
    12,910.41x = 148,044,135.46
  5. Step 5: Solve for x
    x = 148,044,135.46/12,910.41
  6. Step 6: Final answer
    x = 11,467.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.