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Finding the Fourth Proportional to 6,689.91, 10,029.96 and 4,094.67

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Solution

The fourth proportional to 6,689.91, 10,029.96 and 4,094.67 is: 6,139.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,689.91 : 10,029.96 = 4,094.67 : x
  2. Step 2: Convert to fraction form
    6,689.91/10,029.96 = 4,094.67/x
  3. Step 3: Cross multiply
    6,689.91x = 10,029.96 × 4,094.67
  4. Step 4: Simplify right side
    6,689.91x = 41,069,376.31
  5. Step 5: Solve for x
    x = 41,069,376.31/6,689.91
  6. Step 6: Final answer
    x = 6,139.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.