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Finding the Fourth Proportional to 7,722.34, 11,580.76 and 3,337.41

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Solution

The fourth proportional to 7,722.34, 11,580.76 and 3,337.41 is: 5,004.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,722.34 : 11,580.76 = 3,337.41 : x
  2. Step 2: Convert to fraction form
    7,722.34/11,580.76 = 3,337.41/x
  3. Step 3: Cross multiply
    7,722.34x = 11,580.76 × 3,337.41
  4. Step 4: Simplify right side
    7,722.34x = 38,649,744.23
  5. Step 5: Solve for x
    x = 38,649,744.23/7,722.34
  6. Step 6: Final answer
    x = 5,004.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.