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Finding the Fourth Proportional to 10,813.74, 14,915.27 and 7,029.92

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Solution

The fourth proportional to 10,813.74, 14,915.27 and 7,029.92 is: 9,696.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,813.74 : 14,915.27 = 7,029.92 : x
  2. Step 2: Convert to fraction form
    10,813.74/14,915.27 = 7,029.92/x
  3. Step 3: Cross multiply
    10,813.74x = 14,915.27 × 7,029.92
  4. Step 4: Simplify right side
    10,813.74x = 104,853,209.74
  5. Step 5: Solve for x
    x = 104,853,209.74/10,813.74
  6. Step 6: Final answer
    x = 9,696.30

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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.