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Finding the Fourth Proportional to 7,404.30, 10,218.08 and 4,047.32

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Solution

The fourth proportional to 7,404.30, 10,218.08 and 4,047.32 is: 5,585.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,404.30 : 10,218.08 = 4,047.32 : x
  2. Step 2: Convert to fraction form
    7,404.30/10,218.08 = 4,047.32/x
  3. Step 3: Cross multiply
    7,404.30x = 10,218.08 × 4,047.32
  4. Step 4: Simplify right side
    7,404.30x = 41,355,768.22
  5. Step 5: Solve for x
    x = 41,355,768.22/7,404.30
  6. Step 6: Final answer
    x = 5,585.37

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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.