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Finding the Fourth Proportional to 7,331, 10,996.56 and 1,784.37

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Solution

The fourth proportional to 7,331, 10,996.56 and 1,784.37 is: 2,676.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,331 : 10,996.56 = 1,784.37 : x
  2. Step 2: Convert to fraction form
    7,331/10,996.56 = 1,784.37/x
  3. Step 3: Cross multiply
    7,331x = 10,996.56 × 1,784.37
  4. Step 4: Simplify right side
    7,331x = 19,621,931.77
  5. Step 5: Solve for x
    x = 19,621,931.77/7,331
  6. Step 6: Final answer
    x = 2,676.57

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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.