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Finding the Fourth Proportional to 7,861.89, 10,849.24 and 4,506.69

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Solution

The fourth proportional to 7,861.89, 10,849.24 and 4,506.69 is: 6,219.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,861.89 : 10,849.24 = 4,506.69 : x
  2. Step 2: Convert to fraction form
    7,861.89/10,849.24 = 4,506.69/x
  3. Step 3: Cross multiply
    7,861.89x = 10,849.24 × 4,506.69
  4. Step 4: Simplify right side
    7,861.89x = 48,894,146.71
  5. Step 5: Solve for x
    x = 48,894,146.71/7,861.89
  6. Step 6: Final answer
    x = 6,219.13

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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.