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Finding the Fourth Proportional to 10,327.80, 15,491.84 and 4,085.13

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Solution

The fourth proportional to 10,327.80, 15,491.84 and 4,085.13 is: 6,127.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,327.80 : 15,491.84 = 4,085.13 : x
  2. Step 2: Convert to fraction form
    10,327.80/15,491.84 = 4,085.13/x
  3. Step 3: Cross multiply
    10,327.80x = 15,491.84 × 4,085.13
  4. Step 4: Simplify right side
    10,327.80x = 63,286,159.91
  5. Step 5: Solve for x
    x = 63,286,159.91/10,327.80
  6. Step 6: Final answer
    x = 6,127.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.