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Finding the Fourth Proportional to 11,800.92, 17,699.88 and 5,955

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Solution

The fourth proportional to 11,800.92, 17,699.88 and 5,955 is: 8,931.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,800.92 : 17,699.88 = 5,955 : x
  2. Step 2: Convert to fraction form
    11,800.92/17,699.88 = 5,955/x
  3. Step 3: Cross multiply
    11,800.92x = 17,699.88 × 5,955
  4. Step 4: Simplify right side
    11,800.92x = 105,402,785.40
  5. Step 5: Solve for x
    x = 105,402,785.40/11,800.92
  6. Step 6: Final answer
    x = 8,931.74

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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.