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Finding the Fourth Proportional to 7,075.75, 10,613.64 and 2,458.75

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Solution

The fourth proportional to 7,075.75, 10,613.64 and 2,458.75 is: 3,688.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,075.75 : 10,613.64 = 2,458.75 : x
  2. Step 2: Convert to fraction form
    7,075.75/10,613.64 = 2,458.75/x
  3. Step 3: Cross multiply
    7,075.75x = 10,613.64 × 2,458.75
  4. Step 4: Simplify right side
    7,075.75x = 26,096,287.35
  5. Step 5: Solve for x
    x = 26,096,287.35/7,075.75
  6. Step 6: Final answer
    x = 3,688.13

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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.