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Finding the Fourth Proportional to 7,406.40, 11,106.90 and 2,962.20

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Solution

The fourth proportional to 7,406.40, 11,106.90 and 2,962.20 is: 4,442.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,406.40 : 11,106.90 = 2,962.20 : x
  2. Step 2: Convert to fraction form
    7,406.40/11,106.90 = 2,962.20/x
  3. Step 3: Cross multiply
    7,406.40x = 11,106.90 × 2,962.20
  4. Step 4: Simplify right side
    7,406.40x = 32,900,859.18
  5. Step 5: Solve for x
    x = 32,900,859.18/7,406.40
  6. Step 6: Final answer
    x = 4,442.22

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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.