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Finding the Fourth Proportional to 10,439.84, 14,407.02 and 5,659.79

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Solution

The fourth proportional to 10,439.84, 14,407.02 and 5,659.79 is: 7,810.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,439.84 : 14,407.02 = 5,659.79 : x
  2. Step 2: Convert to fraction form
    10,439.84/14,407.02 = 5,659.79/x
  3. Step 3: Cross multiply
    10,439.84x = 14,407.02 × 5,659.79
  4. Step 4: Simplify right side
    10,439.84x = 81,540,635.69
  5. Step 5: Solve for x
    x = 81,540,635.69/10,439.84
  6. Step 6: Final answer
    x = 7,810.53

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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.