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Finding the Fourth Proportional to 10,411.92, 14,370.26 and 10,065.92

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Solution

The fourth proportional to 10,411.92, 14,370.26 and 10,065.92 is: 13,892.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,411.92 : 14,370.26 = 10,065.92 : x
  2. Step 2: Convert to fraction form
    10,411.92/14,370.26 = 10,065.92/x
  3. Step 3: Cross multiply
    10,411.92x = 14,370.26 × 10,065.92
  4. Step 4: Simplify right side
    10,411.92x = 144,649,887.54
  5. Step 5: Solve for x
    x = 144,649,887.54/10,411.92
  6. Step 6: Final answer
    x = 13,892.72

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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.