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Finding the Fourth Proportional to 11,547.89, 15,936.13 and 6,443.62

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Solution

The fourth proportional to 11,547.89, 15,936.13 and 6,443.62 is: 8,892.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,547.89 : 15,936.13 = 6,443.62 : x
  2. Step 2: Convert to fraction form
    11,547.89/15,936.13 = 6,443.62/x
  3. Step 3: Cross multiply
    11,547.89x = 15,936.13 × 6,443.62
  4. Step 4: Simplify right side
    11,547.89x = 102,686,392.54
  5. Step 5: Solve for x
    x = 102,686,392.54/11,547.89
  6. Step 6: Final answer
    x = 8,892.22

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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.