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Finding the Fourth Proportional to 8,458.76, 11,670.26 and 5,478.42

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Solution

The fourth proportional to 8,458.76, 11,670.26 and 5,478.42 is: 7,558.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,458.76 : 11,670.26 = 5,478.42 : x
  2. Step 2: Convert to fraction form
    8,458.76/11,670.26 = 5,478.42/x
  3. Step 3: Cross multiply
    8,458.76x = 11,670.26 × 5,478.42
  4. Step 4: Simplify right side
    8,458.76x = 63,934,585.79
  5. Step 5: Solve for x
    x = 63,934,585.79/8,458.76
  6. Step 6: Final answer
    x = 7,558.39

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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.