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Finding the Fourth Proportional to 8,257.64, 11,394.96 and 4,672.99

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Solution

The fourth proportional to 8,257.64, 11,394.96 and 4,672.99 is: 6,448.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,257.64 : 11,394.96 = 4,672.99 : x
  2. Step 2: Convert to fraction form
    8,257.64/11,394.96 = 4,672.99/x
  3. Step 3: Cross multiply
    8,257.64x = 11,394.96 × 4,672.99
  4. Step 4: Simplify right side
    8,257.64x = 53,248,477.16
  5. Step 5: Solve for x
    x = 53,248,477.16/8,257.64
  6. Step 6: Final answer
    x = 6,448.39

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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.