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Finding the Fourth Proportional to 25,075.68, 37,607.36 and 7,540.80

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Solution

The fourth proportional to 25,075.68, 37,607.36 and 7,540.80 is: 11,309.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,075.68 : 37,607.36 = 7,540.80 : x
  2. Step 2: Convert to fraction form
    25,075.68/37,607.36 = 7,540.80/x
  3. Step 3: Cross multiply
    25,075.68x = 37,607.36 × 7,540.80
  4. Step 4: Simplify right side
    25,075.68x = 283,589,580.29
  5. Step 5: Solve for x
    x = 283,589,580.29/25,075.68
  6. Step 6: Final answer
    x = 11,309.35

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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.