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Finding the Fourth Proportional to 10,632.96, 14,674.95 and 6,158.12

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Solution

The fourth proportional to 10,632.96, 14,674.95 and 6,158.12 is: 8,499.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,632.96 : 14,674.95 = 6,158.12 : x
  2. Step 2: Convert to fraction form
    10,632.96/14,674.95 = 6,158.12/x
  3. Step 3: Cross multiply
    10,632.96x = 14,674.95 × 6,158.12
  4. Step 4: Simplify right side
    10,632.96x = 90,370,029.72
  5. Step 5: Solve for x
    x = 90,370,029.72/10,632.96
  6. Step 6: Final answer
    x = 8,499.05

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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.