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Finding the Fourth Proportional to 11,856.48, 17,782.56 and 5,277.12

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Solution

The fourth proportional to 11,856.48, 17,782.56 and 5,277.12 is: 7,914.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,856.48 : 17,782.56 = 5,277.12 : x
  2. Step 2: Convert to fraction form
    11,856.48/17,782.56 = 5,277.12/x
  3. Step 3: Cross multiply
    11,856.48x = 17,782.56 × 5,277.12
  4. Step 4: Simplify right side
    11,856.48x = 93,840,703.03
  5. Step 5: Solve for x
    x = 93,840,703.03/11,856.48
  6. Step 6: Final answer
    x = 7,914.72

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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.