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Finding the Fourth Proportional to 7,530.98, 11,291.00 and 3,834.14

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Solution

The fourth proportional to 7,530.98, 11,291.00 and 3,834.14 is: 5,748.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,530.98 : 11,291.00 = 3,834.14 : x
  2. Step 2: Convert to fraction form
    7,530.98/11,291.00 = 3,834.14/x
  3. Step 3: Cross multiply
    7,530.98x = 11,291.00 × 3,834.14
  4. Step 4: Simplify right side
    7,530.98x = 43,291,199.11
  5. Step 5: Solve for x
    x = 43,291,199.11/7,530.98
  6. Step 6: Final answer
    x = 5,748.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.