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Finding the Fourth Proportional to 7,671.91, 10,588.14 and 4,314.85

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Solution

The fourth proportional to 7,671.91, 10,588.14 and 4,314.85 is: 5,955.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,671.91 : 10,588.14 = 4,314.85 : x
  2. Step 2: Convert to fraction form
    7,671.91/10,588.14 = 4,314.85/x
  3. Step 3: Cross multiply
    7,671.91x = 10,588.14 × 4,314.85
  4. Step 4: Simplify right side
    7,671.91x = 45,686,235.88
  5. Step 5: Solve for x
    x = 45,686,235.88/7,671.91
  6. Step 6: Final answer
    x = 5,955.00

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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.