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Finding the Fourth Proportional to 7,361.83, 10,159.14 and 4,217.81

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Solution

The fourth proportional to 7,361.83, 10,159.14 and 4,217.81 is: 5,820.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,361.83 : 10,159.14 = 4,217.81 : x
  2. Step 2: Convert to fraction form
    7,361.83/10,159.14 = 4,217.81/x
  3. Step 3: Cross multiply
    7,361.83x = 10,159.14 × 4,217.81
  4. Step 4: Simplify right side
    7,361.83x = 42,849,347.68
  5. Step 5: Solve for x
    x = 42,849,347.68/7,361.83
  6. Step 6: Final answer
    x = 5,820.48

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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.