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Finding the Fourth Proportional to 7,671.30, 10,588.77 and 5,900.82

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Solution

The fourth proportional to 7,671.30, 10,588.77 and 5,900.82 is: 8,144.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,671.30 : 10,588.77 = 5,900.82 : x
  2. Step 2: Convert to fraction form
    7,671.30/10,588.77 = 5,900.82/x
  3. Step 3: Cross multiply
    7,671.30x = 10,588.77 × 5,900.82
  4. Step 4: Simplify right side
    7,671.30x = 62,482,425.79
  5. Step 5: Solve for x
    x = 62,482,425.79/7,671.30
  6. Step 6: Final answer
    x = 8,144.96

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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.