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Finding the Fourth Proportional to 8,513.61, 12,770.40 and 2,590.53

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Solution

The fourth proportional to 8,513.61, 12,770.40 and 2,590.53 is: 3,885.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,513.61 : 12,770.40 = 2,590.53 : x
  2. Step 2: Convert to fraction form
    8,513.61/12,770.40 = 2,590.53/x
  3. Step 3: Cross multiply
    8,513.61x = 12,770.40 × 2,590.53
  4. Step 4: Simplify right side
    8,513.61x = 33,082,104.31
  5. Step 5: Solve for x
    x = 33,082,104.31/8,513.61
  6. Step 6: Final answer
    x = 3,885.79

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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.