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Finding the Fourth Proportional to 11,112.79, 16,588.07 and 9,711.49

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Solution

The fourth proportional to 11,112.79, 16,588.07 and 9,711.49 is: 14,496.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,112.79 : 16,588.07 = 9,711.49 : x
  2. Step 2: Convert to fraction form
    11,112.79/16,588.07 = 9,711.49/x
  3. Step 3: Cross multiply
    11,112.79x = 16,588.07 × 9,711.49
  4. Step 4: Simplify right side
    11,112.79x = 161,094,875.92
  5. Step 5: Solve for x
    x = 161,094,875.92/11,112.79
  6. Step 6: Final answer
    x = 14,496.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.