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Finding the Fourth Proportional to 10,411.79, 14,372.93 and 6,640.00

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Solution

The fourth proportional to 10,411.79, 14,372.93 and 6,640.00 is: 9,166.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,411.79 : 14,372.93 = 6,640.00 : x
  2. Step 2: Convert to fraction form
    10,411.79/14,372.93 = 6,640.00/x
  3. Step 3: Cross multiply
    10,411.79x = 14,372.93 × 6,640.00
  4. Step 4: Simplify right side
    10,411.79x = 95,436,235.87
  5. Step 5: Solve for x
    x = 95,436,235.87/10,411.79
  6. Step 6: Final answer
    x = 9,166.17

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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.