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Finding the Fourth Proportional to 10,093.61, 13,928.99 and 5,617.32

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Solution

The fourth proportional to 10,093.61, 13,928.99 and 5,617.32 is: 7,751.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,093.61 : 13,928.99 = 5,617.32 : x
  2. Step 2: Convert to fraction form
    10,093.61/13,928.99 = 5,617.32/x
  3. Step 3: Cross multiply
    10,093.61x = 13,928.99 × 5,617.32
  4. Step 4: Simplify right side
    10,093.61x = 78,243,647.11
  5. Step 5: Solve for x
    x = 78,243,647.11/10,093.61
  6. Step 6: Final answer
    x = 7,751.80

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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.