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Finding the Fourth Proportional to 11,671.16, 16,106.85 and 6,366.06

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Solution

The fourth proportional to 11,671.16, 16,106.85 and 6,366.06 is: 8,785.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,671.16 : 16,106.85 = 6,366.06 : x
  2. Step 2: Convert to fraction form
    11,671.16/16,106.85 = 6,366.06/x
  3. Step 3: Cross multiply
    11,671.16x = 16,106.85 × 6,366.06
  4. Step 4: Simplify right side
    11,671.16x = 102,537,173.51
  5. Step 5: Solve for x
    x = 102,537,173.51/11,671.16
  6. Step 6: Final answer
    x = 8,785.52

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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.