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Finding the Fourth Proportional to 10,051.94, 15,075.86 and 3,809.80

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Solution

The fourth proportional to 10,051.94, 15,075.86 and 3,809.80 is: 5,713.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,051.94 : 15,075.86 = 3,809.80 : x
  2. Step 2: Convert to fraction form
    10,051.94/15,075.86 = 3,809.80/x
  3. Step 3: Cross multiply
    10,051.94x = 15,075.86 × 3,809.80
  4. Step 4: Simplify right side
    10,051.94x = 57,435,917.00
  5. Step 5: Solve for x
    x = 57,435,917.00/10,051.94
  6. Step 6: Final answer
    x = 5,713.92

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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.