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Finding the Fourth Proportional to 7,075.64, 10,615.08 and 2,145.44

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Solution

The fourth proportional to 7,075.64, 10,615.08 and 2,145.44 is: 3,218.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,075.64 : 10,615.08 = 2,145.44 : x
  2. Step 2: Convert to fraction form
    7,075.64/10,615.08 = 2,145.44/x
  3. Step 3: Cross multiply
    7,075.64x = 10,615.08 × 2,145.44
  4. Step 4: Simplify right side
    7,075.64x = 22,773,964.16
  5. Step 5: Solve for x
    x = 22,773,964.16/7,075.64
  6. Step 6: Final answer
    x = 3,218.65

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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.