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Finding the Fourth Proportional to 11,306.50, 15,602.97 and 6,589.87

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Solution

The fourth proportional to 11,306.50, 15,602.97 and 6,589.87 is: 9,094.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,306.50 : 15,602.97 = 6,589.87 : x
  2. Step 2: Convert to fraction form
    11,306.50/15,602.97 = 6,589.87/x
  3. Step 3: Cross multiply
    11,306.50x = 15,602.97 × 6,589.87
  4. Step 4: Simplify right side
    11,306.50x = 102,821,543.91
  5. Step 5: Solve for x
    x = 102,821,543.91/11,306.50
  6. Step 6: Final answer
    x = 9,094.02

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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.