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Finding the Fourth Proportional to 10,946.33, 15,205.17 and 10,776.74

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Solution

The fourth proportional to 10,946.33, 15,205.17 and 10,776.74 is: 14,969.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,946.33 : 15,205.17 = 10,776.74 : x
  2. Step 2: Convert to fraction form
    10,946.33/15,205.17 = 10,776.74/x
  3. Step 3: Cross multiply
    10,946.33x = 15,205.17 × 10,776.74
  4. Step 4: Simplify right side
    10,946.33x = 163,862,087.72
  5. Step 5: Solve for x
    x = 163,862,087.72/10,946.33
  6. Step 6: Final answer
    x = 14,969.60

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.