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Finding the Fourth Proportional to 28,566, 42,851.70 and 7,789.50

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Solution

The fourth proportional to 28,566, 42,851.70 and 7,789.50 is: 11,684.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,566 : 42,851.70 = 7,789.50 : x
  2. Step 2: Convert to fraction form
    28,566/42,851.70 = 7,789.50/x
  3. Step 3: Cross multiply
    28,566x = 42,851.70 × 7,789.50
  4. Step 4: Simplify right side
    28,566x = 333,793,317.15
  5. Step 5: Solve for x
    x = 333,793,317.15/28,566
  6. Step 6: Final answer
    x = 11,684.99

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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.