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Finding the Fourth Proportional to 7,387.76, 10,195.10 and 4,075.76

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Solution

The fourth proportional to 7,387.76, 10,195.10 and 4,075.76 is: 5,624.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,387.76 : 10,195.10 = 4,075.76 : x
  2. Step 2: Convert to fraction form
    7,387.76/10,195.10 = 4,075.76/x
  3. Step 3: Cross multiply
    7,387.76x = 10,195.10 × 4,075.76
  4. Step 4: Simplify right side
    7,387.76x = 41,552,780.78
  5. Step 5: Solve for x
    x = 41,552,780.78/7,387.76
  6. Step 6: Final answer
    x = 5,624.54

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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.