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Finding the Fourth Proportional to 11,750.56, 17,643.12 and 4,838.56

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Solution

The fourth proportional to 11,750.56, 17,643.12 and 4,838.56 is: 7,264.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,750.56 : 17,643.12 = 4,838.56 : x
  2. Step 2: Convert to fraction form
    11,750.56/17,643.12 = 4,838.56/x
  3. Step 3: Cross multiply
    11,750.56x = 17,643.12 × 4,838.56
  4. Step 4: Simplify right side
    11,750.56x = 85,367,294.71
  5. Step 5: Solve for x
    x = 85,367,294.71/11,750.56
  6. Step 6: Final answer
    x = 7,264.96

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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.