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Finding the Fourth Proportional to 7,611.42, 11,417.10 and 2,064.75

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Solution

The fourth proportional to 7,611.42, 11,417.10 and 2,064.75 is: 3,097.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,611.42 : 11,417.10 = 2,064.75 : x
  2. Step 2: Convert to fraction form
    7,611.42/11,417.10 = 2,064.75/x
  3. Step 3: Cross multiply
    7,611.42x = 11,417.10 × 2,064.75
  4. Step 4: Simplify right side
    7,611.42x = 23,573,457.23
  5. Step 5: Solve for x
    x = 23,573,457.23/7,611.42
  6. Step 6: Final answer
    x = 3,097.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.