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Finding the Fourth Proportional to 11,549.79, 15,929.64 and 8,363.57

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Solution

The fourth proportional to 11,549.79, 15,929.64 and 8,363.57 is: 11,535.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,549.79 : 15,929.64 = 8,363.57 : x
  2. Step 2: Convert to fraction form
    11,549.79/15,929.64 = 8,363.57/x
  3. Step 3: Cross multiply
    11,549.79x = 15,929.64 × 8,363.57
  4. Step 4: Simplify right side
    11,549.79x = 133,228,579.57
  5. Step 5: Solve for x
    x = 133,228,579.57/11,549.79
  6. Step 6: Final answer
    x = 11,535.15

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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.