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Finding the Fourth Proportional to 7,557.86, 10,428.24 and 4,199.97

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Solution

The fourth proportional to 7,557.86, 10,428.24 and 4,199.97 is: 5,795.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,557.86 : 10,428.24 = 4,199.97 : x
  2. Step 2: Convert to fraction form
    7,557.86/10,428.24 = 4,199.97/x
  3. Step 3: Cross multiply
    7,557.86x = 10,428.24 × 4,199.97
  4. Step 4: Simplify right side
    7,557.86x = 43,798,295.15
  5. Step 5: Solve for x
    x = 43,798,295.15/7,557.86
  6. Step 6: Final answer
    x = 5,795.07

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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.