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Finding the Fourth Proportional to 10,433.44, 15,655.04 and 4,880

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Solution

The fourth proportional to 10,433.44, 15,655.04 and 4,880 is: 7,322.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,433.44 : 15,655.04 = 4,880 : x
  2. Step 2: Convert to fraction form
    10,433.44/15,655.04 = 4,880/x
  3. Step 3: Cross multiply
    10,433.44x = 15,655.04 × 4,880
  4. Step 4: Simplify right side
    10,433.44x = 76,396,595.20
  5. Step 5: Solve for x
    x = 76,396,595.20/10,433.44
  6. Step 6: Final answer
    x = 7,322.28

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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.