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Finding the Fourth Proportional to 10,546.20, 14,553 and 5,829.84

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Solution

The fourth proportional to 10,546.20, 14,553 and 5,829.84 is: 8,044.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,546.20 : 14,553 = 5,829.84 : x
  2. Step 2: Convert to fraction form
    10,546.20/14,553 = 5,829.84/x
  3. Step 3: Cross multiply
    10,546.20x = 14,553 × 5,829.84
  4. Step 4: Simplify right side
    10,546.20x = 84,841,661.52
  5. Step 5: Solve for x
    x = 84,841,661.52/10,546.20
  6. Step 6: Final answer
    x = 8,044.76

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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.