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Finding the Fourth Proportional to 10,592.34, 15,891.21 and 6,213.66

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Solution

The fourth proportional to 10,592.34, 15,891.21 and 6,213.66 is: 9,322.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,592.34 : 15,891.21 = 6,213.66 : x
  2. Step 2: Convert to fraction form
    10,592.34/15,891.21 = 6,213.66/x
  3. Step 3: Cross multiply
    10,592.34x = 15,891.21 × 6,213.66
  4. Step 4: Simplify right side
    10,592.34x = 98,742,575.93
  5. Step 5: Solve for x
    x = 98,742,575.93/10,592.34
  6. Step 6: Final answer
    x = 9,322.07

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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.