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Finding the Fourth Proportional to 11,229.32, 15,496.08 and 6,193.64

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Solution

The fourth proportional to 11,229.32, 15,496.08 and 6,193.64 is: 8,547.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,229.32 : 15,496.08 = 6,193.64 : x
  2. Step 2: Convert to fraction form
    11,229.32/15,496.08 = 6,193.64/x
  3. Step 3: Cross multiply
    11,229.32x = 15,496.08 × 6,193.64
  4. Step 4: Simplify right side
    11,229.32x = 95,977,140.93
  5. Step 5: Solve for x
    x = 95,977,140.93/11,229.32
  6. Step 6: Final answer
    x = 8,547.01

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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.