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Finding the Fourth Proportional to 7,644.80, 11,459.64 and 3,688.76

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Solution

The fourth proportional to 7,644.80, 11,459.64 and 3,688.76 is: 5,529.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,644.80 : 11,459.64 = 3,688.76 : x
  2. Step 2: Convert to fraction form
    7,644.80/11,459.64 = 3,688.76/x
  3. Step 3: Cross multiply
    7,644.80x = 11,459.64 × 3,688.76
  4. Step 4: Simplify right side
    7,644.80x = 42,271,861.65
  5. Step 5: Solve for x
    x = 42,271,861.65/7,644.80
  6. Step 6: Final answer
    x = 5,529.49

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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.