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Finding the Fourth Proportional to 11,547.15, 15,935.06 and 6,241.96

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Solution

The fourth proportional to 11,547.15, 15,935.06 and 6,241.96 is: 8,613.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,547.15 : 15,935.06 = 6,241.96 : x
  2. Step 2: Convert to fraction form
    11,547.15/15,935.06 = 6,241.96/x
  3. Step 3: Cross multiply
    11,547.15x = 15,935.06 × 6,241.96
  4. Step 4: Simplify right side
    11,547.15x = 99,466,007.12
  5. Step 5: Solve for x
    x = 99,466,007.12/11,547.15
  6. Step 6: Final answer
    x = 8,613.90

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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.