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Finding the Fourth Proportional to 8,510.44, 11,741.54 and 4,971.64

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Solution

The fourth proportional to 8,510.44, 11,741.54 and 4,971.64 is: 6,859.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,510.44 : 11,741.54 = 4,971.64 : x
  2. Step 2: Convert to fraction form
    8,510.44/11,741.54 = 4,971.64/x
  3. Step 3: Cross multiply
    8,510.44x = 11,741.54 × 4,971.64
  4. Step 4: Simplify right side
    8,510.44x = 58,374,709.93
  5. Step 5: Solve for x
    x = 58,374,709.93/8,510.44
  6. Step 6: Final answer
    x = 6,859.19

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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.