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Finding the Fourth Proportional to 10,746.68, 14,824.94 and 6,760.24

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Solution

The fourth proportional to 10,746.68, 14,824.94 and 6,760.24 is: 9,325.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,746.68 : 14,824.94 = 6,760.24 : x
  2. Step 2: Convert to fraction form
    10,746.68/14,824.94 = 6,760.24/x
  3. Step 3: Cross multiply
    10,746.68x = 14,824.94 × 6,760.24
  4. Step 4: Simplify right side
    10,746.68x = 100,220,152.39
  5. Step 5: Solve for x
    x = 100,220,152.39/10,746.68
  6. Step 6: Final answer
    x = 9,325.68

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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.