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Finding the Fourth Proportional to 7,390.89, 10,199.16 and 4,116.51

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Solution

The fourth proportional to 7,390.89, 10,199.16 and 4,116.51 is: 5,680.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,390.89 : 10,199.16 = 4,116.51 : x
  2. Step 2: Convert to fraction form
    7,390.89/10,199.16 = 4,116.51/x
  3. Step 3: Cross multiply
    7,390.89x = 10,199.16 × 4,116.51
  4. Step 4: Simplify right side
    7,390.89x = 41,984,944.13
  5. Step 5: Solve for x
    x = 41,984,944.13/7,390.89
  6. Step 6: Final answer
    x = 5,680.63

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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.