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Finding the Fourth Proportional to 10,785.42, 16,164.50 and 4,856.00

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Solution

The fourth proportional to 10,785.42, 16,164.50 and 4,856.00 is: 7,277.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,785.42 : 16,164.50 = 4,856.00 : x
  2. Step 2: Convert to fraction form
    10,785.42/16,164.50 = 4,856.00/x
  3. Step 3: Cross multiply
    10,785.42x = 16,164.50 × 4,856.00
  4. Step 4: Simplify right side
    10,785.42x = 78,494,706.90
  5. Step 5: Solve for x
    x = 78,494,706.90/10,785.42
  6. Step 6: Final answer
    x = 7,277.85

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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.