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Finding the Fourth Proportional to 8,455.35, 11,656 and 5,929.84

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Solution

The fourth proportional to 8,455.35, 11,656 and 5,929.84 is: 8,174.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,455.35 : 11,656 = 5,929.84 : x
  2. Step 2: Convert to fraction form
    8,455.35/11,656 = 5,929.84/x
  3. Step 3: Cross multiply
    8,455.35x = 11,656 × 5,929.84
  4. Step 4: Simplify right side
    8,455.35x = 69,118,215.04
  5. Step 5: Solve for x
    x = 69,118,215.04/8,455.35
  6. Step 6: Final answer
    x = 8,174.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.