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Finding the Fourth Proportional to 11,098.35, 16,647.53 and 7,380.45

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Solution

The fourth proportional to 11,098.35, 16,647.53 and 7,380.45 is: 11,070.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,098.35 : 16,647.53 = 7,380.45 : x
  2. Step 2: Convert to fraction form
    11,098.35/16,647.53 = 7,380.45/x
  3. Step 3: Cross multiply
    11,098.35x = 16,647.53 × 7,380.45
  4. Step 4: Simplify right side
    11,098.35x = 122,866,225.89
  5. Step 5: Solve for x
    x = 122,866,225.89/11,098.35
  6. Step 6: Final answer
    x = 11,070.68

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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.