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Finding the Fourth Proportional to 10,379.66, 15,559.93 and 4,138.17

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Solution

The fourth proportional to 10,379.66, 15,559.93 and 4,138.17 is: 6,203.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,379.66 : 15,559.93 = 4,138.17 : x
  2. Step 2: Convert to fraction form
    10,379.66/15,559.93 = 4,138.17/x
  3. Step 3: Cross multiply
    10,379.66x = 15,559.93 × 4,138.17
  4. Step 4: Simplify right side
    10,379.66x = 64,389,669.88
  5. Step 5: Solve for x
    x = 64,389,669.88/10,379.66
  6. Step 6: Final answer
    x = 6,203.45

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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.