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Finding the Fourth Proportional to 10,410.84, 14,367.36 and 5,695.20

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Solution

The fourth proportional to 10,410.84, 14,367.36 and 5,695.20 is: 7,859.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,410.84 : 14,367.36 = 5,695.20 : x
  2. Step 2: Convert to fraction form
    10,410.84/14,367.36 = 5,695.20/x
  3. Step 3: Cross multiply
    10,410.84x = 14,367.36 × 5,695.20
  4. Step 4: Simplify right side
    10,410.84x = 81,824,988.67
  5. Step 5: Solve for x
    x = 81,824,988.67/10,410.84
  6. Step 6: Final answer
    x = 7,859.60

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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.