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Finding the Fourth Proportional to 11,780.88, 17,669.88 and 4,854.48

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Solution

The fourth proportional to 11,780.88, 17,669.88 and 4,854.48 is: 7,281.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,780.88 : 17,669.88 = 4,854.48 : x
  2. Step 2: Convert to fraction form
    11,780.88/17,669.88 = 4,854.48/x
  3. Step 3: Cross multiply
    11,780.88x = 17,669.88 × 4,854.48
  4. Step 4: Simplify right side
    11,780.88x = 85,778,079.06
  5. Step 5: Solve for x
    x = 85,778,079.06/11,780.88
  6. Step 6: Final answer
    x = 7,281.13

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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.