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Finding the Fourth Proportional to 7,387.50, 10,194.75 and 4,075.50

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Solution

The fourth proportional to 7,387.50, 10,194.75 and 4,075.50 is: 5,624.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,387.50 : 10,194.75 = 4,075.50 : x
  2. Step 2: Convert to fraction form
    7,387.50/10,194.75 = 4,075.50/x
  3. Step 3: Cross multiply
    7,387.50x = 10,194.75 × 4,075.50
  4. Step 4: Simplify right side
    7,387.50x = 41,548,703.63
  5. Step 5: Solve for x
    x = 41,548,703.63/7,387.50
  6. Step 6: Final answer
    x = 5,624.19

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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.