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Finding the Fourth Proportional to 10,642.22, 14,684.98 and 6,104.67

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Solution

The fourth proportional to 10,642.22, 14,684.98 and 6,104.67 is: 8,423.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,642.22 : 14,684.98 = 6,104.67 : x
  2. Step 2: Convert to fraction form
    10,642.22/14,684.98 = 6,104.67/x
  3. Step 3: Cross multiply
    10,642.22x = 14,684.98 × 6,104.67
  4. Step 4: Simplify right side
    10,642.22x = 89,646,956.86
  5. Step 5: Solve for x
    x = 89,646,956.86/10,642.22
  6. Step 6: Final answer
    x = 8,423.71

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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.