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Finding the Fourth Proportional to 10,715.84, 14,785.76 and 5,935.55

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Solution

The fourth proportional to 10,715.84, 14,785.76 and 5,935.55 is: 8,189.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,715.84 : 14,785.76 = 5,935.55 : x
  2. Step 2: Convert to fraction form
    10,715.84/14,785.76 = 5,935.55/x
  3. Step 3: Cross multiply
    10,715.84x = 14,785.76 × 5,935.55
  4. Step 4: Simplify right side
    10,715.84x = 87,761,617.77
  5. Step 5: Solve for x
    x = 87,761,617.77/10,715.84
  6. Step 6: Final answer
    x = 8,189.90

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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.