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Finding the Fourth Proportional to 7,404.74, 11,107.10 and 2,964.40

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Solution

The fourth proportional to 7,404.74, 11,107.10 and 2,964.40 is: 4,446.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,404.74 : 11,107.10 = 2,964.40 : x
  2. Step 2: Convert to fraction form
    7,404.74/11,107.10 = 2,964.40/x
  3. Step 3: Cross multiply
    7,404.74x = 11,107.10 × 2,964.40
  4. Step 4: Simplify right side
    7,404.74x = 32,925,887.71
  5. Step 5: Solve for x
    x = 32,925,887.71/7,404.74
  6. Step 6: Final answer
    x = 4,446.60

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Why These Related Problems?

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