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Finding the Fourth Proportional to 11,510.96, 15,884.48 and 6,406.24

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Solution

The fourth proportional to 11,510.96, 15,884.48 and 6,406.24 is: 8,840.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,510.96 : 15,884.48 = 6,406.24 : x
  2. Step 2: Convert to fraction form
    11,510.96/15,884.48 = 6,406.24/x
  3. Step 3: Cross multiply
    11,510.96x = 15,884.48 × 6,406.24
  4. Step 4: Simplify right side
    11,510.96x = 101,759,791.16
  5. Step 5: Solve for x
    x = 101,759,791.16/11,510.96
  6. Step 6: Final answer
    x = 8,840.25

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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.