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Finding the Fourth Proportional to 11,455.66, 15,809.45 and 6,419.59

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Solution

The fourth proportional to 11,455.66, 15,809.45 and 6,419.59 is: 8,859.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,455.66 : 15,809.45 = 6,419.59 : x
  2. Step 2: Convert to fraction form
    11,455.66/15,809.45 = 6,419.59/x
  3. Step 3: Cross multiply
    11,455.66x = 15,809.45 × 6,419.59
  4. Step 4: Simplify right side
    11,455.66x = 101,490,115.50
  5. Step 5: Solve for x
    x = 101,490,115.50/11,455.66
  6. Step 6: Final answer
    x = 8,859.39

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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.