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Finding the Fourth Proportional to 10,093.58, 13,929.45 and 5,617.58

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Solution

The fourth proportional to 10,093.58, 13,929.45 and 5,617.58 is: 7,752.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,093.58 : 13,929.45 = 5,617.58 : x
  2. Step 2: Convert to fraction form
    10,093.58/13,929.45 = 5,617.58/x
  3. Step 3: Cross multiply
    10,093.58x = 13,929.45 × 5,617.58
  4. Step 4: Simplify right side
    10,093.58x = 78,249,799.73
  5. Step 5: Solve for x
    x = 78,249,799.73/10,093.58
  6. Step 6: Final answer
    x = 7,752.43

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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.