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Finding the Fourth Proportional to 7,572, 10,448.52 and 4,214.04

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Solution

The fourth proportional to 7,572, 10,448.52 and 4,214.04 is: 5,814.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,572 : 10,448.52 = 4,214.04 : x
  2. Step 2: Convert to fraction form
    7,572/10,448.52 = 4,214.04/x
  3. Step 3: Cross multiply
    7,572x = 10,448.52 × 4,214.04
  4. Step 4: Simplify right side
    7,572x = 44,030,481.22
  5. Step 5: Solve for x
    x = 44,030,481.22/7,572
  6. Step 6: Final answer
    x = 5,814.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.