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Finding the Fourth Proportional to 7,465.10, 11,200.10 and 3,569.81

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Solution

The fourth proportional to 7,465.10, 11,200.10 and 3,569.81 is: 5,355.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,465.10 : 11,200.10 = 3,569.81 : x
  2. Step 2: Convert to fraction form
    7,465.10/11,200.10 = 3,569.81/x
  3. Step 3: Cross multiply
    7,465.10x = 11,200.10 × 3,569.81
  4. Step 4: Simplify right side
    7,465.10x = 39,982,239.13
  5. Step 5: Solve for x
    x = 39,982,239.13/7,465.10
  6. Step 6: Final answer
    x = 5,355.89

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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.