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Finding the Fourth Proportional to 7,390.42, 10,199.86 and 4,246

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Solution

The fourth proportional to 7,390.42, 10,199.86 and 4,246 is: 5,860.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,390.42 : 10,199.86 = 4,246 : x
  2. Step 2: Convert to fraction form
    7,390.42/10,199.86 = 4,246/x
  3. Step 3: Cross multiply
    7,390.42x = 10,199.86 × 4,246
  4. Step 4: Simplify right side
    7,390.42x = 43,308,605.56
  5. Step 5: Solve for x
    x = 43,308,605.56/7,390.42
  6. Step 6: Final answer
    x = 5,860.10

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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.