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Finding the Fourth Proportional to 11,953.69, 17,931.69 and 4,357.04

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Solution

The fourth proportional to 11,953.69, 17,931.69 and 4,357.04 is: 6,535.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,953.69 : 17,931.69 = 4,357.04 : x
  2. Step 2: Convert to fraction form
    11,953.69/17,931.69 = 4,357.04/x
  3. Step 3: Cross multiply
    11,953.69x = 17,931.69 × 4,357.04
  4. Step 4: Simplify right side
    11,953.69x = 78,129,000.94
  5. Step 5: Solve for x
    x = 78,129,000.94/11,953.69
  6. Step 6: Final answer
    x = 6,535.98

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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.