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Finding the Fourth Proportional to 7,572.22, 10,448.84 and 4,214.76

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Solution

The fourth proportional to 7,572.22, 10,448.84 and 4,214.76 is: 5,815.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,572.22 : 10,448.84 = 4,214.76 : x
  2. Step 2: Convert to fraction form
    7,572.22/10,448.84 = 4,214.76/x
  3. Step 3: Cross multiply
    7,572.22x = 10,448.84 × 4,214.76
  4. Step 4: Simplify right side
    7,572.22x = 44,039,352.88
  5. Step 5: Solve for x
    x = 44,039,352.88/7,572.22
  6. Step 6: Final answer
    x = 5,815.91

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