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Finding the Fourth Proportional to 7,151.09, 9,872.43 and 4,885.84

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Solution

The fourth proportional to 7,151.09, 9,872.43 and 4,885.84 is: 6,745.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,151.09 : 9,872.43 = 4,885.84 : x
  2. Step 2: Convert to fraction form
    7,151.09/9,872.43 = 4,885.84/x
  3. Step 3: Cross multiply
    7,151.09x = 9,872.43 × 4,885.84
  4. Step 4: Simplify right side
    7,151.09x = 48,235,051.81
  5. Step 5: Solve for x
    x = 48,235,051.81/7,151.09
  6. Step 6: Final answer
    x = 6,745.14

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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.