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Finding the Fourth Proportional to 7,241.92, 10,854.56 and 3,075.76

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Solution

The fourth proportional to 7,241.92, 10,854.56 and 3,075.76 is: 4,610.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,241.92 : 10,854.56 = 3,075.76 : x
  2. Step 2: Convert to fraction form
    7,241.92/10,854.56 = 3,075.76/x
  3. Step 3: Cross multiply
    7,241.92x = 10,854.56 × 3,075.76
  4. Step 4: Simplify right side
    7,241.92x = 33,386,021.47
  5. Step 5: Solve for x
    x = 33,386,021.47/7,241.92
  6. Step 6: Final answer
    x = 4,610.11

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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.