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Finding the Fourth Proportional to 10,459.11, 14,433.59 and 5,743.70

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Solution

The fourth proportional to 10,459.11, 14,433.59 and 5,743.70 is: 7,926.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,459.11 : 14,433.59 = 5,743.70 : x
  2. Step 2: Convert to fraction form
    10,459.11/14,433.59 = 5,743.70/x
  3. Step 3: Cross multiply
    10,459.11x = 14,433.59 × 5,743.70
  4. Step 4: Simplify right side
    10,459.11x = 82,902,210.88
  5. Step 5: Solve for x
    x = 82,902,210.88/10,459.11
  6. Step 6: Final answer
    x = 7,926.32

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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.