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Finding the Fourth Proportional to 8,671.91, 11,966.45 and 5,314.05

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Solution

The fourth proportional to 8,671.91, 11,966.45 and 5,314.05 is: 7,332.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,671.91 : 11,966.45 = 5,314.05 : x
  2. Step 2: Convert to fraction form
    8,671.91/11,966.45 = 5,314.05/x
  3. Step 3: Cross multiply
    8,671.91x = 11,966.45 × 5,314.05
  4. Step 4: Simplify right side
    8,671.91x = 63,590,287.05
  5. Step 5: Solve for x
    x = 63,590,287.05/8,671.91
  6. Step 6: Final answer
    x = 7,332.91

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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.