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Finding the Fourth Proportional to 10,462.95, 14,434.79 and 5,984.30

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Solution

The fourth proportional to 10,462.95, 14,434.79 and 5,984.30 is: 8,256.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,462.95 : 14,434.79 = 5,984.30 : x
  2. Step 2: Convert to fraction form
    10,462.95/14,434.79 = 5,984.30/x
  3. Step 3: Cross multiply
    10,462.95x = 14,434.79 × 5,984.30
  4. Step 4: Simplify right side
    10,462.95x = 86,382,119.96
  5. Step 5: Solve for x
    x = 86,382,119.96/10,462.95
  6. Step 6: Final answer
    x = 8,256.00

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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.