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Finding the Fourth Proportional to 11,913.63, 17,847.88 and 7,952.94

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Solution

The fourth proportional to 11,913.63, 17,847.88 and 7,952.94 is: 11,914.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,913.63 : 17,847.88 = 7,952.94 : x
  2. Step 2: Convert to fraction form
    11,913.63/17,847.88 = 7,952.94/x
  3. Step 3: Cross multiply
    11,913.63x = 17,847.88 × 7,952.94
  4. Step 4: Simplify right side
    11,913.63x = 141,943,118.77
  5. Step 5: Solve for x
    x = 141,943,118.77/11,913.63
  6. Step 6: Final answer
    x = 11,914.35

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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.