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Finding the Fourth Proportional to 7,572.17, 10,450.10 and 4,214.95

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Solution

The fourth proportional to 7,572.17, 10,450.10 and 4,214.95 is: 5,816.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,572.17 : 10,450.10 = 4,214.95 : x
  2. Step 2: Convert to fraction form
    7,572.17/10,450.10 = 4,214.95/x
  3. Step 3: Cross multiply
    7,572.17x = 10,450.10 × 4,214.95
  4. Step 4: Simplify right side
    7,572.17x = 44,046,649.00
  5. Step 5: Solve for x
    x = 44,046,649.00/7,572.17
  6. Step 6: Final answer
    x = 5,816.91

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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.