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Finding the Fourth Proportional to 10,352.82, 15,536.43 and 4,506.42

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Solution

The fourth proportional to 10,352.82, 15,536.43 and 4,506.42 is: 6,762.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,352.82 : 15,536.43 = 4,506.42 : x
  2. Step 2: Convert to fraction form
    10,352.82/15,536.43 = 4,506.42/x
  3. Step 3: Cross multiply
    10,352.82x = 15,536.43 × 4,506.42
  4. Step 4: Simplify right side
    10,352.82x = 70,013,678.88
  5. Step 5: Solve for x
    x = 70,013,678.88/10,352.82
  6. Step 6: Final answer
    x = 6,762.76

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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.