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Finding the Fourth Proportional to 8,269.59, 12,410.01 and 3,075.47

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Solution

The fourth proportional to 8,269.59, 12,410.01 and 3,075.47 is: 4,615.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,269.59 : 12,410.01 = 3,075.47 : x
  2. Step 2: Convert to fraction form
    8,269.59/12,410.01 = 3,075.47/x
  3. Step 3: Cross multiply
    8,269.59x = 12,410.01 × 3,075.47
  4. Step 4: Simplify right side
    8,269.59x = 38,166,597.94
  5. Step 5: Solve for x
    x = 38,166,597.94/8,269.59
  6. Step 6: Final answer
    x = 4,615.29

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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.