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Finding the Fourth Proportional to 10,561.62, 15,835.14 and 4,635.66

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Solution

The fourth proportional to 10,561.62, 15,835.14 and 4,635.66 is: 6,950.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,561.62 : 15,835.14 = 4,635.66 : x
  2. Step 2: Convert to fraction form
    10,561.62/15,835.14 = 4,635.66/x
  3. Step 3: Cross multiply
    10,561.62x = 15,835.14 × 4,635.66
  4. Step 4: Simplify right side
    10,561.62x = 73,406,325.09
  5. Step 5: Solve for x
    x = 73,406,325.09/10,561.62
  6. Step 6: Final answer
    x = 6,950.29

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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.