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Finding the Fourth Proportional to 10,410.75, 14,366.84 and 5,695.07

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Solution

The fourth proportional to 10,410.75, 14,366.84 and 5,695.07 is: 7,859.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,410.75 : 14,366.84 = 5,695.07 : x
  2. Step 2: Convert to fraction form
    10,410.75/14,366.84 = 5,695.07/x
  3. Step 3: Cross multiply
    10,410.75x = 14,366.84 × 5,695.07
  4. Step 4: Simplify right side
    10,410.75x = 81,820,059.17
  5. Step 5: Solve for x
    x = 81,820,059.17/10,410.75
  6. Step 6: Final answer
    x = 7,859.19

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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.