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Finding the Fourth Proportional to 10,536.13, 14,540.07 and 5,820.58

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Solution

The fourth proportional to 10,536.13, 14,540.07 and 5,820.58 is: 8,032.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,536.13 : 14,540.07 = 5,820.58 : x
  2. Step 2: Convert to fraction form
    10,536.13/14,540.07 = 5,820.58/x
  3. Step 3: Cross multiply
    10,536.13x = 14,540.07 × 5,820.58
  4. Step 4: Simplify right side
    10,536.13x = 84,631,640.64
  5. Step 5: Solve for x
    x = 84,631,640.64/10,536.13
  6. Step 6: Final answer
    x = 8,032.52

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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.