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Finding the Fourth Proportional to 6,992.68, 10,492.65 and 6,589.30

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Solution

The fourth proportional to 6,992.68, 10,492.65 and 6,589.30 is: 9,887.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,992.68 : 10,492.65 = 6,589.30 : x
  2. Step 2: Convert to fraction form
    6,992.68/10,492.65 = 6,589.30/x
  3. Step 3: Cross multiply
    6,992.68x = 10,492.65 × 6,589.30
  4. Step 4: Simplify right side
    6,992.68x = 69,139,218.65
  5. Step 5: Solve for x
    x = 69,139,218.65/6,992.68
  6. Step 6: Final answer
    x = 9,887.37

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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.