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Finding the Fourth Proportional to 11,618.94, 17,385.35 and 6,941.50

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Solution

The fourth proportional to 11,618.94, 17,385.35 and 6,941.50 is: 10,386.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,618.94 : 17,385.35 = 6,941.50 : x
  2. Step 2: Convert to fraction form
    11,618.94/17,385.35 = 6,941.50/x
  3. Step 3: Cross multiply
    11,618.94x = 17,385.35 × 6,941.50
  4. Step 4: Simplify right side
    11,618.94x = 120,680,328.85
  5. Step 5: Solve for x
    x = 120,680,328.85/11,618.94
  6. Step 6: Final answer
    x = 10,386.52

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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.