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Finding the Fourth Proportional to 7,574.16, 10,452.21 and 4,216.89

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Solution

The fourth proportional to 7,574.16, 10,452.21 and 4,216.89 is: 5,819.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,574.16 : 10,452.21 = 4,216.89 : x
  2. Step 2: Convert to fraction form
    7,574.16/10,452.21 = 4,216.89/x
  3. Step 3: Cross multiply
    7,574.16x = 10,452.21 × 4,216.89
  4. Step 4: Simplify right side
    7,574.16x = 44,075,819.83
  5. Step 5: Solve for x
    x = 44,075,819.83/7,574.16
  6. Step 6: Final answer
    x = 5,819.24

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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.