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Finding the Fourth Proportional to 7,535.57, 11,303.01 and 3,588.71

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Solution

The fourth proportional to 7,535.57, 11,303.01 and 3,588.71 is: 5,382.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,535.57 : 11,303.01 = 3,588.71 : x
  2. Step 2: Convert to fraction form
    7,535.57/11,303.01 = 3,588.71/x
  3. Step 3: Cross multiply
    7,535.57x = 11,303.01 × 3,588.71
  4. Step 4: Simplify right side
    7,535.57x = 40,563,168.50
  5. Step 5: Solve for x
    x = 40,563,168.50/7,535.57
  6. Step 6: Final answer
    x = 5,382.90

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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.