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Finding the Fourth Proportional to 10,512.01, 14,506.59 and 5,796.29

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Solution

The fourth proportional to 10,512.01, 14,506.59 and 5,796.29 is: 7,998.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,512.01 : 14,506.59 = 5,796.29 : x
  2. Step 2: Convert to fraction form
    10,512.01/14,506.59 = 5,796.29/x
  3. Step 3: Cross multiply
    10,512.01x = 14,506.59 × 5,796.29
  4. Step 4: Simplify right side
    10,512.01x = 84,084,402.55
  5. Step 5: Solve for x
    x = 84,084,402.55/10,512.01
  6. Step 6: Final answer
    x = 7,998.89

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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.