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Finding the Fourth Proportional to 11,886.30, 17,829.45 and 3,565.98

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Solution

The fourth proportional to 11,886.30, 17,829.45 and 3,565.98 is: 5,348.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,886.30 : 17,829.45 = 3,565.98 : x
  2. Step 2: Convert to fraction form
    11,886.30/17,829.45 = 3,565.98/x
  3. Step 3: Cross multiply
    11,886.30x = 17,829.45 × 3,565.98
  4. Step 4: Simplify right side
    11,886.30x = 63,579,462.11
  5. Step 5: Solve for x
    x = 63,579,462.11/11,886.30
  6. Step 6: Final answer
    x = 5,348.97

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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.