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Finding the Fourth Proportional to 8,510.28, 11,744.64 and 4,973.28

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Solution

The fourth proportional to 8,510.28, 11,744.64 and 4,973.28 is: 6,863.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,510.28 : 11,744.64 = 4,973.28 : x
  2. Step 2: Convert to fraction form
    8,510.28/11,744.64 = 4,973.28/x
  3. Step 3: Cross multiply
    8,510.28x = 11,744.64 × 4,973.28
  4. Step 4: Simplify right side
    8,510.28x = 58,409,383.22
  5. Step 5: Solve for x
    x = 58,409,383.22/8,510.28
  6. Step 6: Final answer
    x = 6,863.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.