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Finding the Fourth Proportional to 10,435.02, 14,401.50 and 5,959.40

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Solution

The fourth proportional to 10,435.02, 14,401.50 and 5,959.40 is: 8,224.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,435.02 : 14,401.50 = 5,959.40 : x
  2. Step 2: Convert to fraction form
    10,435.02/14,401.50 = 5,959.40/x
  3. Step 3: Cross multiply
    10,435.02x = 14,401.50 × 5,959.40
  4. Step 4: Simplify right side
    10,435.02x = 85,824,299.10
  5. Step 5: Solve for x
    x = 85,824,299.10/10,435.02
  6. Step 6: Final answer
    x = 8,224.64

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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.