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Finding the Fourth Proportional to 8,404, 11,597.60 and 4,678.08

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Solution

The fourth proportional to 8,404, 11,597.60 and 4,678.08 is: 6,455.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,404 : 11,597.60 = 4,678.08 : x
  2. Step 2: Convert to fraction form
    8,404/11,597.60 = 4,678.08/x
  3. Step 3: Cross multiply
    8,404x = 11,597.60 × 4,678.08
  4. Step 4: Simplify right side
    8,404x = 54,254,500.61
  5. Step 5: Solve for x
    x = 54,254,500.61/8,404
  6. Step 6: Final answer
    x = 6,455.79

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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.