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Finding the Fourth Proportional to 8,212.93, 11,334 and 4,677.01

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Solution

The fourth proportional to 8,212.93, 11,334 and 4,677.01 is: 6,454.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,212.93 : 11,334 = 4,677.01 : x
  2. Step 2: Convert to fraction form
    8,212.93/11,334 = 4,677.01/x
  3. Step 3: Cross multiply
    8,212.93x = 11,334 × 4,677.01
  4. Step 4: Simplify right side
    8,212.93x = 53,009,231.34
  5. Step 5: Solve for x
    x = 53,009,231.34/8,212.93
  6. Step 6: Final answer
    x = 6,454.36

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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.