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Finding the Fourth Proportional to 10,138.53, 13,989.93 and 5,662.13

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Solution

The fourth proportional to 10,138.53, 13,989.93 and 5,662.13 is: 7,813.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,138.53 : 13,989.93 = 5,662.13 : x
  2. Step 2: Convert to fraction form
    10,138.53/13,989.93 = 5,662.13/x
  3. Step 3: Cross multiply
    10,138.53x = 13,989.93 × 5,662.13
  4. Step 4: Simplify right side
    10,138.53x = 79,212,802.35
  5. Step 5: Solve for x
    x = 79,212,802.35/10,138.53
  6. Step 6: Final answer
    x = 7,813.05

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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.