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Finding the Fourth Proportional to 11,333.61, 16,955.06 and 10,086.57

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Solution

The fourth proportional to 11,333.61, 16,955.06 and 10,086.57 is: 15,089.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,333.61 : 16,955.06 = 10,086.57 : x
  2. Step 2: Convert to fraction form
    11,333.61/16,955.06 = 10,086.57/x
  3. Step 3: Cross multiply
    11,333.61x = 16,955.06 × 10,086.57
  4. Step 4: Simplify right side
    11,333.61x = 171,018,349.11
  5. Step 5: Solve for x
    x = 171,018,349.11/11,333.61
  6. Step 6: Final answer
    x = 15,089.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.