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Finding the Fourth Proportional to 7,697.10, 11,533 and 3,251.11

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Solution

The fourth proportional to 7,697.10, 11,533 and 3,251.11 is: 4,871.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,697.10 : 11,533 = 3,251.11 : x
  2. Step 2: Convert to fraction form
    7,697.10/11,533 = 3,251.11/x
  3. Step 3: Cross multiply
    7,697.10x = 11,533 × 3,251.11
  4. Step 4: Simplify right side
    7,697.10x = 37,495,051.63
  5. Step 5: Solve for x
    x = 37,495,051.63/7,697.10
  6. Step 6: Final answer
    x = 4,871.32

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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.