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Finding the Fourth Proportional to 10,707.80, 16,069.59 and 5,085.49

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Solution

The fourth proportional to 10,707.80, 16,069.59 and 5,085.49 is: 7,631.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,707.80 : 16,069.59 = 5,085.49 : x
  2. Step 2: Convert to fraction form
    10,707.80/16,069.59 = 5,085.49/x
  3. Step 3: Cross multiply
    10,707.80x = 16,069.59 × 5,085.49
  4. Step 4: Simplify right side
    10,707.80x = 81,721,739.25
  5. Step 5: Solve for x
    x = 81,721,739.25/10,707.80
  6. Step 6: Final answer
    x = 7,631.98

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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.