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Finding the Fourth Proportional to 8,577.69, 12,866.53 and 4,829.75

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Solution

The fourth proportional to 8,577.69, 12,866.53 and 4,829.75 is: 7,244.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,577.69 : 12,866.53 = 4,829.75 : x
  2. Step 2: Convert to fraction form
    8,577.69/12,866.53 = 4,829.75/x
  3. Step 3: Cross multiply
    8,577.69x = 12,866.53 × 4,829.75
  4. Step 4: Simplify right side
    8,577.69x = 62,142,123.27
  5. Step 5: Solve for x
    x = 62,142,123.27/8,577.69
  6. Step 6: Final answer
    x = 7,244.62

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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.