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Finding the Fourth Proportional to 10,611.74, 14,649.40 and 6,634.14

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Solution

The fourth proportional to 10,611.74, 14,649.40 and 6,634.14 is: 9,158.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,611.74 : 14,649.40 = 6,634.14 : x
  2. Step 2: Convert to fraction form
    10,611.74/14,649.40 = 6,634.14/x
  3. Step 3: Cross multiply
    10,611.74x = 14,649.40 × 6,634.14
  4. Step 4: Simplify right side
    10,611.74x = 97,186,064.10
  5. Step 5: Solve for x
    x = 97,186,064.10/10,611.74
  6. Step 6: Final answer
    x = 9,158.35

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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.