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Finding the Fourth Proportional to 7,815.50, 11,726.13 and 4,117.58

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Solution

The fourth proportional to 7,815.50, 11,726.13 and 4,117.58 is: 6,177.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,815.50 : 11,726.13 = 4,117.58 : x
  2. Step 2: Convert to fraction form
    7,815.50/11,726.13 = 4,117.58/x
  3. Step 3: Cross multiply
    7,815.50x = 11,726.13 × 4,117.58
  4. Step 4: Simplify right side
    7,815.50x = 48,283,278.37
  5. Step 5: Solve for x
    x = 48,283,278.37/7,815.50
  6. Step 6: Final answer
    x = 6,177.89

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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.