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Finding the Fourth Proportional to 10,946.70, 15,106.82 and 6,474.29

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Solution

The fourth proportional to 10,946.70, 15,106.82 and 6,474.29 is: 8,934.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,946.70 : 15,106.82 = 6,474.29 : x
  2. Step 2: Convert to fraction form
    10,946.70/15,106.82 = 6,474.29/x
  3. Step 3: Cross multiply
    10,946.70x = 15,106.82 × 6,474.29
  4. Step 4: Simplify right side
    10,946.70x = 97,805,874.31
  5. Step 5: Solve for x
    x = 97,805,874.31/10,946.70
  6. Step 6: Final answer
    x = 8,934.74

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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.