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Finding the Fourth Proportional to 8,730.38, 12,050.46 and 5,705.94

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Solution

The fourth proportional to 8,730.38, 12,050.46 and 5,705.94 is: 7,875.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,730.38 : 12,050.46 = 5,705.94 : x
  2. Step 2: Convert to fraction form
    8,730.38/12,050.46 = 5,705.94/x
  3. Step 3: Cross multiply
    8,730.38x = 12,050.46 × 5,705.94
  4. Step 4: Simplify right side
    8,730.38x = 68,759,135.15
  5. Step 5: Solve for x
    x = 68,759,135.15/8,730.38
  6. Step 6: Final answer
    x = 7,875.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.