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Finding the Fourth Proportional to 11,770.84, 17,655.99 and 5,925.88

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Solution

The fourth proportional to 11,770.84, 17,655.99 and 5,925.88 is: 8,888.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,770.84 : 17,655.99 = 5,925.88 : x
  2. Step 2: Convert to fraction form
    11,770.84/17,655.99 = 5,925.88/x
  3. Step 3: Cross multiply
    11,770.84x = 17,655.99 × 5,925.88
  4. Step 4: Simplify right side
    11,770.84x = 104,627,278.02
  5. Step 5: Solve for x
    x = 104,627,278.02/11,770.84
  6. Step 6: Final answer
    x = 8,888.68

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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.