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Finding the Fourth Proportional to 11,834.70, 17,752.86 and 3,070.50

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Solution

The fourth proportional to 11,834.70, 17,752.86 and 3,070.50 is: 4,605.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,834.70 : 17,752.86 = 3,070.50 : x
  2. Step 2: Convert to fraction form
    11,834.70/17,752.86 = 3,070.50/x
  3. Step 3: Cross multiply
    11,834.70x = 17,752.86 × 3,070.50
  4. Step 4: Simplify right side
    11,834.70x = 54,510,156.63
  5. Step 5: Solve for x
    x = 54,510,156.63/11,834.70
  6. Step 6: Final answer
    x = 4,605.96

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Why These Related Problems?

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