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Finding the Fourth Proportional to 11,838.24, 16,338.24 and 7,643.52

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Solution

The fourth proportional to 11,838.24, 16,338.24 and 7,643.52 is: 10,549.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,838.24 : 16,338.24 = 7,643.52 : x
  2. Step 2: Convert to fraction form
    11,838.24/16,338.24 = 7,643.52/x
  3. Step 3: Cross multiply
    11,838.24x = 16,338.24 × 7,643.52
  4. Step 4: Simplify right side
    11,838.24x = 124,881,664.20
  5. Step 5: Solve for x
    x = 124,881,664.20/11,838.24
  6. Step 6: Final answer
    x = 10,549.01

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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.