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Finding the Fourth Proportional to 10,611.12, 14,649.76 and 7,029.13

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Solution

The fourth proportional to 10,611.12, 14,649.76 and 7,029.13 is: 9,704.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,611.12 : 14,649.76 = 7,029.13 : x
  2. Step 2: Convert to fraction form
    10,611.12/14,649.76 = 7,029.13/x
  3. Step 3: Cross multiply
    10,611.12x = 14,649.76 × 7,029.13
  4. Step 4: Simplify right side
    10,611.12x = 102,975,013.31
  5. Step 5: Solve for x
    x = 102,975,013.31/10,611.12
  6. Step 6: Final answer
    x = 9,704.44

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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.