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Finding the Fourth Proportional to 7,465.87, 11,191.87 and 3,303.65

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Solution

The fourth proportional to 7,465.87, 11,191.87 and 3,303.65 is: 4,952.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,465.87 : 11,191.87 = 3,303.65 : x
  2. Step 2: Convert to fraction form
    7,465.87/11,191.87 = 3,303.65/x
  3. Step 3: Cross multiply
    7,465.87x = 11,191.87 × 3,303.65
  4. Step 4: Simplify right side
    7,465.87x = 36,974,004.81
  5. Step 5: Solve for x
    x = 36,974,004.81/7,465.87
  6. Step 6: Final answer
    x = 4,952.41

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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.