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Finding the Fourth Proportional to 10,411.70, 14,363.10 and 6,431.36

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Solution

The fourth proportional to 10,411.70, 14,363.10 and 6,431.36 is: 8,872.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,411.70 : 14,363.10 = 6,431.36 : x
  2. Step 2: Convert to fraction form
    10,411.70/14,363.10 = 6,431.36/x
  3. Step 3: Cross multiply
    10,411.70x = 14,363.10 × 6,431.36
  4. Step 4: Simplify right side
    10,411.70x = 92,374,266.82
  5. Step 5: Solve for x
    x = 92,374,266.82/10,411.70
  6. Step 6: Final answer
    x = 8,872.16

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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.