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Finding the Fourth Proportional to 7,861.61, 11,772.97 and 4,564.71

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Solution

The fourth proportional to 7,861.61, 11,772.97 and 4,564.71 is: 6,835.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,861.61 : 11,772.97 = 4,564.71 : x
  2. Step 2: Convert to fraction form
    7,861.61/11,772.97 = 4,564.71/x
  3. Step 3: Cross multiply
    7,861.61x = 11,772.97 × 4,564.71
  4. Step 4: Simplify right side
    7,861.61x = 53,740,182.48
  5. Step 5: Solve for x
    x = 53,740,182.48/7,861.61
  6. Step 6: Final answer
    x = 6,835.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.