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Finding the Fourth Proportional to 11,964, 17,952.48 and 5,808

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Solution

The fourth proportional to 11,964, 17,952.48 and 5,808 is: 8,715.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,964 : 17,952.48 = 5,808 : x
  2. Step 2: Convert to fraction form
    11,964/17,952.48 = 5,808/x
  3. Step 3: Cross multiply
    11,964x = 17,952.48 × 5,808
  4. Step 4: Simplify right side
    11,964x = 104,268,003.84
  5. Step 5: Solve for x
    x = 104,268,003.84/11,964
  6. Step 6: Final answer
    x = 8,715.15

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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.