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Finding the Fourth Proportional to 7,545, 10,412.18 and 4,233

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Solution

The fourth proportional to 7,545, 10,412.18 and 4,233 is: 5,841.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,545 : 10,412.18 = 4,233 : x
  2. Step 2: Convert to fraction form
    7,545/10,412.18 = 4,233/x
  3. Step 3: Cross multiply
    7,545x = 10,412.18 × 4,233
  4. Step 4: Simplify right side
    7,545x = 44,074,757.94
  5. Step 5: Solve for x
    x = 44,074,757.94/7,545
  6. Step 6: Final answer
    x = 5,841.58

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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.