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Finding the Fourth Proportional to 7,291.94, 10,927.65 and 4,167.26

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Solution

The fourth proportional to 7,291.94, 10,927.65 and 4,167.26 is: 6,245.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,291.94 : 10,927.65 = 4,167.26 : x
  2. Step 2: Convert to fraction form
    7,291.94/10,927.65 = 4,167.26/x
  3. Step 3: Cross multiply
    7,291.94x = 10,927.65 × 4,167.26
  4. Step 4: Simplify right side
    7,291.94x = 45,538,358.74
  5. Step 5: Solve for x
    x = 45,538,358.74/7,291.94
  6. Step 6: Final answer
    x = 6,245.03

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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.