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Finding the Fourth Proportional to 10,322.64, 15,481.20 and 4,477.88

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Solution

The fourth proportional to 10,322.64, 15,481.20 and 4,477.88 is: 6,715.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,322.64 : 15,481.20 = 4,477.88 : x
  2. Step 2: Convert to fraction form
    10,322.64/15,481.20 = 4,477.88/x
  3. Step 3: Cross multiply
    10,322.64x = 15,481.20 × 4,477.88
  4. Step 4: Simplify right side
    10,322.64x = 69,322,955.86
  5. Step 5: Solve for x
    x = 69,322,955.86/10,322.64
  6. Step 6: Final answer
    x = 6,715.62

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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.