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Finding the Fourth Proportional to 7,530.21, 10,396.89 and 5,758.74

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Solution

The fourth proportional to 7,530.21, 10,396.89 and 5,758.74 is: 7,951.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,530.21 : 10,396.89 = 5,758.74 : x
  2. Step 2: Convert to fraction form
    7,530.21/10,396.89 = 5,758.74/x
  3. Step 3: Cross multiply
    7,530.21x = 10,396.89 × 5,758.74
  4. Step 4: Simplify right side
    7,530.21x = 59,872,986.32
  5. Step 5: Solve for x
    x = 59,872,986.32/7,530.21
  6. Step 6: Final answer
    x = 7,951.04

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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.