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Finding the Fourth Proportional to 5,561.86, 8,302.21 and 5,150.74

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Solution

The fourth proportional to 5,561.86, 8,302.21 and 5,150.74 is: 7,688.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,561.86 : 8,302.21 = 5,150.74 : x
  2. Step 2: Convert to fraction form
    5,561.86/8,302.21 = 5,150.74/x
  3. Step 3: Cross multiply
    5,561.86x = 8,302.21 × 5,150.74
  4. Step 4: Simplify right side
    5,561.86x = 42,762,525.14
  5. Step 5: Solve for x
    x = 42,762,525.14/5,561.86
  6. Step 6: Final answer
    x = 7,688.53

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.