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Finding the Fourth Proportional to 11,335.72, 15,643.20 and 6,231.30

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Solution

The fourth proportional to 11,335.72, 15,643.20 and 6,231.30 is: 8,599.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,335.72 : 15,643.20 = 6,231.30 : x
  2. Step 2: Convert to fraction form
    11,335.72/15,643.20 = 6,231.30/x
  3. Step 3: Cross multiply
    11,335.72x = 15,643.20 × 6,231.30
  4. Step 4: Simplify right side
    11,335.72x = 97,477,472.16
  5. Step 5: Solve for x
    x = 97,477,472.16/11,335.72
  6. Step 6: Final answer
    x = 8,599.14

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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.