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Finding the Fourth Proportional to 10,459.11, 14,432.67 and 5,982.14

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Solution

The fourth proportional to 10,459.11, 14,432.67 and 5,982.14 is: 8,254.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,459.11 : 14,432.67 = 5,982.14 : x
  2. Step 2: Convert to fraction form
    10,459.11/14,432.67 = 5,982.14/x
  3. Step 3: Cross multiply
    10,459.11x = 14,432.67 × 5,982.14
  4. Step 4: Simplify right side
    10,459.11x = 86,338,252.51
  5. Step 5: Solve for x
    x = 86,338,252.51/10,459.11
  6. Step 6: Final answer
    x = 8,254.84

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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.