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Finding the Fourth Proportional to 8,952.64, 13,424.82 and 4,791.92

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Solution

The fourth proportional to 8,952.64, 13,424.82 and 4,791.92 is: 7,185.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,952.64 : 13,424.82 = 4,791.92 : x
  2. Step 2: Convert to fraction form
    8,952.64/13,424.82 = 4,791.92/x
  3. Step 3: Cross multiply
    8,952.64x = 13,424.82 × 4,791.92
  4. Step 4: Simplify right side
    8,952.64x = 64,330,663.45
  5. Step 5: Solve for x
    x = 64,330,663.45/8,952.64
  6. Step 6: Final answer
    x = 7,185.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.