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Finding the Fourth Proportional to 7,059.04, 9,742.16 and 3,916

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Solution

The fourth proportional to 7,059.04, 9,742.16 and 3,916 is: 5,404.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,059.04 : 9,742.16 = 3,916 : x
  2. Step 2: Convert to fraction form
    7,059.04/9,742.16 = 3,916/x
  3. Step 3: Cross multiply
    7,059.04x = 9,742.16 × 3,916
  4. Step 4: Simplify right side
    7,059.04x = 38,150,298.56
  5. Step 5: Solve for x
    x = 38,150,298.56/7,059.04
  6. Step 6: Final answer
    x = 5,404.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.