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Finding the Fourth Proportional to 11,293.96, 15,587.12 and 6,820.24

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Solution

The fourth proportional to 11,293.96, 15,587.12 and 6,820.24 is: 9,412.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,293.96 : 15,587.12 = 6,820.24 : x
  2. Step 2: Convert to fraction form
    11,293.96/15,587.12 = 6,820.24/x
  3. Step 3: Cross multiply
    11,293.96x = 15,587.12 × 6,820.24
  4. Step 4: Simplify right side
    11,293.96x = 106,307,899.31
  5. Step 5: Solve for x
    x = 106,307,899.31/11,293.96
  6. Step 6: Final answer
    x = 9,412.81

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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.