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Finding the Fourth Proportional to 7,110.46, 10,649.40 and 3,415.30

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Solution

The fourth proportional to 7,110.46, 10,649.40 and 3,415.30 is: 5,115.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,110.46 : 10,649.40 = 3,415.30 : x
  2. Step 2: Convert to fraction form
    7,110.46/10,649.40 = 3,415.30/x
  3. Step 3: Cross multiply
    7,110.46x = 10,649.40 × 3,415.30
  4. Step 4: Simplify right side
    7,110.46x = 36,370,895.82
  5. Step 5: Solve for x
    x = 36,370,895.82/7,110.46
  6. Step 6: Final answer
    x = 5,115.13

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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.