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Finding the Fourth Proportional to 10,632.42, 14,674.43 and 6,158.93

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Solution

The fourth proportional to 10,632.42, 14,674.43 and 6,158.93 is: 8,500.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,632.42 : 14,674.43 = 6,158.93 : x
  2. Step 2: Convert to fraction form
    10,632.42/14,674.43 = 6,158.93/x
  3. Step 3: Cross multiply
    10,632.42x = 14,674.43 × 6,158.93
  4. Step 4: Simplify right side
    10,632.42x = 90,378,729.19
  5. Step 5: Solve for x
    x = 90,378,729.19/10,632.42
  6. Step 6: Final answer
    x = 8,500.30

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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.