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Finding the Fourth Proportional to 8,514.48, 12,770.76 and 2,358

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Solution

The fourth proportional to 8,514.48, 12,770.76 and 2,358 is: 3,536.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,514.48 : 12,770.76 = 2,358 : x
  2. Step 2: Convert to fraction form
    8,514.48/12,770.76 = 2,358/x
  3. Step 3: Cross multiply
    8,514.48x = 12,770.76 × 2,358
  4. Step 4: Simplify right side
    8,514.48x = 30,113,452.08
  5. Step 5: Solve for x
    x = 30,113,452.08/8,514.48
  6. Step 6: Final answer
    x = 3,536.73

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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.