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Finding the Fourth Proportional to 7,486.86, 11,206.92 and 5,514.72

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Solution

The fourth proportional to 7,486.86, 11,206.92 and 5,514.72 is: 8,254.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,486.86 : 11,206.92 = 5,514.72 : x
  2. Step 2: Convert to fraction form
    7,486.86/11,206.92 = 5,514.72/x
  3. Step 3: Cross multiply
    7,486.86x = 11,206.92 × 5,514.72
  4. Step 4: Simplify right side
    7,486.86x = 61,803,004.52
  5. Step 5: Solve for x
    x = 61,803,004.52/7,486.86
  6. Step 6: Final answer
    x = 8,254.87

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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.