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Finding the Fourth Proportional to 11,671.19, 16,106.43 and 6,366.00

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Solution

The fourth proportional to 11,671.19, 16,106.43 and 6,366.00 is: 8,785.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,671.19 : 16,106.43 = 6,366.00 : x
  2. Step 2: Convert to fraction form
    11,671.19/16,106.43 = 6,366.00/x
  3. Step 3: Cross multiply
    11,671.19x = 16,106.43 × 6,366.00
  4. Step 4: Simplify right side
    11,671.19x = 102,533,565.69
  5. Step 5: Solve for x
    x = 102,533,565.69/11,671.19
  6. Step 6: Final answer
    x = 8,785.19

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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.