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Finding the Fourth Proportional to 12,590.88, 17,373.50 and 7,284.67

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Solution

The fourth proportional to 12,590.88, 17,373.50 and 7,284.67 is: 10,051.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,590.88 : 17,373.50 = 7,284.67 : x
  2. Step 2: Convert to fraction form
    12,590.88/17,373.50 = 7,284.67/x
  3. Step 3: Cross multiply
    12,590.88x = 17,373.50 × 7,284.67
  4. Step 4: Simplify right side
    12,590.88x = 126,560,214.25
  5. Step 5: Solve for x
    x = 126,560,214.25/12,590.88
  6. Step 6: Final answer
    x = 10,051.74

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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.