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Finding the Fourth Proportional to 28,894, 43,343.74 and 7,835.24

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Solution

The fourth proportional to 28,894, 43,343.74 and 7,835.24 is: 11,753.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,894 : 43,343.74 = 7,835.24 : x
  2. Step 2: Convert to fraction form
    28,894/43,343.74 = 7,835.24/x
  3. Step 3: Cross multiply
    28,894x = 43,343.74 × 7,835.24
  4. Step 4: Simplify right side
    28,894x = 339,608,605.40
  5. Step 5: Solve for x
    x = 339,608,605.40/28,894
  6. Step 6: Final answer
    x = 11,753.60

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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.