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Finding the Fourth Proportional to 8,573.29, 11,830.77 and 5,389.86

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Solution

The fourth proportional to 8,573.29, 11,830.77 and 5,389.86 is: 7,437.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,573.29 : 11,830.77 = 5,389.86 : x
  2. Step 2: Convert to fraction form
    8,573.29/11,830.77 = 5,389.86/x
  3. Step 3: Cross multiply
    8,573.29x = 11,830.77 × 5,389.86
  4. Step 4: Simplify right side
    8,573.29x = 63,766,193.99
  5. Step 5: Solve for x
    x = 63,766,193.99/8,573.29
  6. Step 6: Final answer
    x = 7,437.77

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