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Finding the Fourth Proportional to 7,250.25, 10,004.41 and 4,265

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Solution

The fourth proportional to 7,250.25, 10,004.41 and 4,265 is: 5,885.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,250.25 : 10,004.41 = 4,265 : x
  2. Step 2: Convert to fraction form
    7,250.25/10,004.41 = 4,265/x
  3. Step 3: Cross multiply
    7,250.25x = 10,004.41 × 4,265
  4. Step 4: Simplify right side
    7,250.25x = 42,668,808.65
  5. Step 5: Solve for x
    x = 42,668,808.65/7,250.25
  6. Step 6: Final answer
    x = 5,885.15

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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.