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Finding the Fourth Proportional to 10,685.41, 14,733.86 and 6,903.58

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Solution

The fourth proportional to 10,685.41, 14,733.86 and 6,903.58 is: 9,519.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,685.41 : 14,733.86 = 6,903.58 : x
  2. Step 2: Convert to fraction form
    10,685.41/14,733.86 = 6,903.58/x
  3. Step 3: Cross multiply
    10,685.41x = 14,733.86 × 6,903.58
  4. Step 4: Simplify right side
    10,685.41x = 101,716,381.22
  5. Step 5: Solve for x
    x = 101,716,381.22/10,685.41
  6. Step 6: Final answer
    x = 9,519.18

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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.