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Finding the Fourth Proportional to 7,482.16, 11,220.81 and 3,532.81

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Solution

The fourth proportional to 7,482.16, 11,220.81 and 3,532.81 is: 5,298.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,482.16 : 11,220.81 = 3,532.81 : x
  2. Step 2: Convert to fraction form
    7,482.16/11,220.81 = 3,532.81/x
  3. Step 3: Cross multiply
    7,482.16x = 11,220.81 × 3,532.81
  4. Step 4: Simplify right side
    7,482.16x = 39,640,933.67
  5. Step 5: Solve for x
    x = 39,640,933.67/7,482.16
  6. Step 6: Final answer
    x = 5,298.06

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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.