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Finding the Fourth Proportional to 10,371.90, 14,312.66 and 5,895.03

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Solution

The fourth proportional to 10,371.90, 14,312.66 and 5,895.03 is: 8,134.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,371.90 : 14,312.66 = 5,895.03 : x
  2. Step 2: Convert to fraction form
    10,371.90/14,312.66 = 5,895.03/x
  3. Step 3: Cross multiply
    10,371.90x = 14,312.66 × 5,895.03
  4. Step 4: Simplify right side
    10,371.90x = 84,373,610.60
  5. Step 5: Solve for x
    x = 84,373,610.60/10,371.90
  6. Step 6: Final answer
    x = 8,134.82

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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.