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Finding the Fourth Proportional to 10,484.31, 14,469.06 and 5,768.59

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Solution

The fourth proportional to 10,484.31, 14,469.06 and 5,768.59 is: 7,961.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,484.31 : 14,469.06 = 5,768.59 : x
  2. Step 2: Convert to fraction form
    10,484.31/14,469.06 = 5,768.59/x
  3. Step 3: Cross multiply
    10,484.31x = 14,469.06 × 5,768.59
  4. Step 4: Simplify right side
    10,484.31x = 83,466,074.83
  5. Step 5: Solve for x
    x = 83,466,074.83/10,484.31
  6. Step 6: Final answer
    x = 7,961.05

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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.