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Finding the Fourth Proportional to 10,611.84, 14,646.06 and 10,331.04

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Solution

The fourth proportional to 10,611.84, 14,646.06 and 10,331.04 is: 14,258.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,611.84 : 14,646.06 = 10,331.04 : x
  2. Step 2: Convert to fraction form
    10,611.84/14,646.06 = 10,331.04/x
  3. Step 3: Cross multiply
    10,611.84x = 14,646.06 × 10,331.04
  4. Step 4: Simplify right side
    10,611.84x = 151,309,031.70
  5. Step 5: Solve for x
    x = 151,309,031.70/10,611.84
  6. Step 6: Final answer
    x = 14,258.51

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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.