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Finding the Fourth Proportional to 10,232.36, 14,120.74 and 5,756.08

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Solution

The fourth proportional to 10,232.36, 14,120.74 and 5,756.08 is: 7,943.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,232.36 : 14,120.74 = 5,756.08 : x
  2. Step 2: Convert to fraction form
    10,232.36/14,120.74 = 5,756.08/x
  3. Step 3: Cross multiply
    10,232.36x = 14,120.74 × 5,756.08
  4. Step 4: Simplify right side
    10,232.36x = 81,280,109.10
  5. Step 5: Solve for x
    x = 81,280,109.10/10,232.36
  6. Step 6: Final answer
    x = 7,943.44

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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.