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Finding the Fourth Proportional to 8,085.86, 11,159.54 and 4,549.77

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Solution

The fourth proportional to 8,085.86, 11,159.54 and 4,549.77 is: 6,279.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,085.86 : 11,159.54 = 4,549.77 : x
  2. Step 2: Convert to fraction form
    8,085.86/11,159.54 = 4,549.77/x
  3. Step 3: Cross multiply
    8,085.86x = 11,159.54 × 4,549.77
  4. Step 4: Simplify right side
    8,085.86x = 50,773,334.62
  5. Step 5: Solve for x
    x = 50,773,334.62/8,085.86
  6. Step 6: Final answer
    x = 6,279.28

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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.