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Finding the Fourth Proportional to 10,459.94, 14,434.95 and 5,744.24

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Solution

The fourth proportional to 10,459.94, 14,434.95 and 5,744.24 is: 7,927.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,459.94 : 14,434.95 = 5,744.24 : x
  2. Step 2: Convert to fraction form
    10,459.94/14,434.95 = 5,744.24/x
  3. Step 3: Cross multiply
    10,459.94x = 14,434.95 × 5,744.24
  4. Step 4: Simplify right side
    10,459.94x = 82,917,817.19
  5. Step 5: Solve for x
    x = 82,917,817.19/10,459.94
  6. Step 6: Final answer
    x = 7,927.18

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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.