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Finding the Fourth Proportional to 7,404.70, 11,107.05 and 6,411.10

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Solution

The fourth proportional to 7,404.70, 11,107.05 and 6,411.10 is: 9,616.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,404.70 : 11,107.05 = 6,411.10 : x
  2. Step 2: Convert to fraction form
    7,404.70/11,107.05 = 6,411.10/x
  3. Step 3: Cross multiply
    7,404.70x = 11,107.05 × 6,411.10
  4. Step 4: Simplify right side
    7,404.70x = 71,208,408.26
  5. Step 5: Solve for x
    x = 71,208,408.26/7,404.70
  6. Step 6: Final answer
    x = 9,616.65

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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.