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Finding the Fourth Proportional to 12,910.77, 19,317.29 and 7,648.61

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Solution

The fourth proportional to 12,910.77, 19,317.29 and 7,648.61 is: 11,443.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,910.77 : 19,317.29 = 7,648.61 : x
  2. Step 2: Convert to fraction form
    12,910.77/19,317.29 = 7,648.61/x
  3. Step 3: Cross multiply
    12,910.77x = 19,317.29 × 7,648.61
  4. Step 4: Simplify right side
    12,910.77x = 147,750,282.64
  5. Step 5: Solve for x
    x = 147,750,282.64/12,910.77
  6. Step 6: Final answer
    x = 11,443.96

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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.