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Finding the Fourth Proportional to 11,385.90, 17,070.63 and 7,678.86

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Solution

The fourth proportional to 11,385.90, 17,070.63 and 7,678.86 is: 11,512.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,385.90 : 17,070.63 = 7,678.86 : x
  2. Step 2: Convert to fraction form
    11,385.90/17,070.63 = 7,678.86/x
  3. Step 3: Cross multiply
    11,385.90x = 17,070.63 × 7,678.86
  4. Step 4: Simplify right side
    11,385.90x = 131,082,977.88
  5. Step 5: Solve for x
    x = 131,082,977.88/11,385.90
  6. Step 6: Final answer
    x = 11,512.75

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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.